60:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.120102:0.967458:0.179272:0.967458:0.179272:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función lineal representa una línea recta en un sistema de coordenadas. :@0.287490:0.150300:0.907599:0.150300:0.907599:0.133911:0.287490:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticamente, la función lineal nos muestra cómo dos variables se relacionan :@0.287490:0.166897:0.907689:0.166897:0.907689:0.150508:0.287490:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en forma proporcional. Se utiliza para analizar, en forma cuantitativa, problemas en :@0.287490:0.183493:0.907742:0.183493:0.907742:0.167104:0.287490:0.167104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
economía, estadística, ingeniería, física, medicina, entre otras.:@0.287490:0.200089:0.733634:0.200089:0.733634:0.183700:0.287490:0.183700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una tienda de alquiler de bicicletas cobra 5 :@0.287490:0.223808:0.610066:0.223808:0.610066:0.207419:0.287490:0.207419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dólares más 2 dólares por hora o fracción :@0.287490:0.240405:0.610103:0.240405:0.610103:0.224016:0.287490:0.224016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de  alquiler.  Si  llamamos    al  costo  del :@0.287490:0.257001:0.610055:0.257001:0.610055:0.240612:0.287490:0.240612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.490415:0.257001:0.497897:0.257001:0.497897:0.241608:0.490415:0.241608:0.000000
alquiler  y   a  la  cantidad de  horas  de :@0.287490:0.273597:0.610066:0.273597:0.610066:0.257209:0.287490:0.257209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.371133:0.273597:0.378596:0.273597:0.378596:0.258204:0.371133:0.258204:0.000000
alquiler, la función  correspondiente es: :@0.287490:0.290194:0.577482:0.290194:0.577482:0.273805:0.287490:0.273805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.411232:0.317481:0.418713:0.317481:0.418713:0.302088:0.411232:0.302088:0.000000
 = 2  + 5:@0.418713:0.317481:0.482270:0.317481:0.482270:0.301092:0.418713:0.301092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.446760:0.317481:0.454223:0.317481:0.454223:0.302088:0.446760:0.302088:0.000000
x:@0.402293:0.347544:0.410636:0.347544:0.410636:0.331992:0.402293:0.331992:0.000000
y:@0.497279:0.347544:0.505605:0.347544:0.505605:0.331992:0.497279:0.331992:0.000000
0:@0.401968:0.368290:0.410961:0.368290:0.410961:0.351901:0.401968:0.351901:0.000000
5:@0.496944:0.368290:0.505937:0.368290:0.505937:0.351901:0.496944:0.351901:0.000000
1:@0.401968:0.388717:0.410961:0.388717:0.410961:0.372328:0.401968:0.372328:0.000000
7:@0.496944:0.388717:0.505937:0.388717:0.505937:0.372328:0.496944:0.372328:0.000000
2:@0.401968:0.409145:0.410961:0.409145:0.410961:0.392756:0.401968:0.392756:0.000000
9:@0.496944:0.409145:0.505937:0.409145:0.505937:0.392756:0.496944:0.392756:0.000000
3:@0.401968:0.429572:0.410961:0.429572:0.410961:0.413183:0.401968:0.413183:0.000000
11:@0.492448:0.429572:0.510433:0.429572:0.510433:0.413183:0.492448:0.413183:0.000000:0.000000
La gráfica es una línea recta. Su dominio y recorrido son los números reales. Es :@0.287495:0.460607:0.907622:0.460607:0.907622:0.444218:0.287495:0.444218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente en todo su dominio, corta al eje   en el punto (0, 5); además, la constante :@0.287495:0.477204:0.907749:0.477204:0.907749:0.460815:0.287495:0.460815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.601132:0.477204:0.608614:0.477204:0.608614:0.461810:0.601132:0.461810:0.000000
de proporcionalidad es 2.:@0.287495:0.493800:0.473283:0.493800:0.473283:0.477411:0.287495:0.477411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pendiente de una recta:@0.287495:0.524655:0.470957:0.524655:0.470957:0.507755:0.287495:0.507755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La constante de proporcionalidad de la recta toma el nombre de pendiente. :@0.287495:0.548374:0.907714:0.548374:0.907714:0.531985:0.287495:0.531985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Geométricamente, la pendiente es el valor de la tangente del ángulo que forma la :@0.287495:0.564971:0.907687:0.564971:0.907687:0.548582:0.287495:0.548582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta con el eje positivo de las x. Se simboliza con la letra  . :@0.287495:0.581567:0.727947:0.581567:0.727947:0.565178:0.287495:0.565178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.706074:0.581567:0.720705:0.581567:0.720705:0.566174:0.706074:0.566174:0.000000
Si   = 0, la función se llama :@0.287495:0.605286:0.491250:0.605286:0.491250:0.588897:0.287495:0.588897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.303546:0.605286:0.318177:0.605286:0.318177:0.589893:0.303546:0.589893:0.000000
función constante:@0.490863:0.605286:0.618216:0.605286:0.618216:0.589893:0.490863:0.589893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, y es una recta horizontal; en tanto si :@0.618216:0.605286:0.889342:0.605286:0.889342:0.588897:0.618216:0.588897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.888955:0.605286:0.903587:0.605286:0.903587:0.589893:0.888955:0.589893:0.000000
es positiva, la función es creciente y se inclina a la derecha; y si   es negativa, la :@0.287495:0.621882:0.907749:0.621882:0.907749:0.605494:0.287495:0.605494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.775881:0.621882:0.790513:0.621882:0.790513:0.606489:0.775881:0.606489:0.000000
función es decreciente y se inclina hacia la izquierda.:@0.287495:0.638479:0.671927:0.638479:0.671927:0.622090:0.287495:0.622090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función de la forma :@0.296992:0.677362:0.485155:0.677362:0.485155:0.660973:0.296992:0.660973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = mx + b:@0.486556:0.677362:0.565813:0.677362:0.565813:0.661969:0.486556:0.661969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 donde   y   son números reales, recibe el :@0.565905:0.677362:0.898141:0.677362:0.898141:0.660973:0.565905:0.660973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.625905:0.677362:0.640537:0.677362:0.640537:0.661969:0.625905:0.661969:0.000000
b:@0.659722:0.677362:0.668991:0.677362:0.668991:0.661969:0.659722:0.661969:0.000000
nombre de función lineal. :@0.296992:0.693958:0.491514:0.693958:0.491514:0.677570:0.296992:0.677570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cálculo de la pendiente de una recta:@0.287502:0.736279:0.576313:0.736279:0.576313:0.719379:0.287502:0.719379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.752763:0.804601:0.767395:0.804601:0.767395:0.789208:0.752763:0.789208:0.000000
 = tg( ):@0.767395:0.804601:0.830199:0.804590:0.830199:0.788201:0.767395:0.788212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.752766:0.841517:0.767398:0.841517:0.767398:0.826123:0.752766:0.826123:0.000000
 = tg( ) = :@0.767398:0.841517:0.849254:0.841517:0.849254:0.825128:0.767398:0.825128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.854857:0.834325:0.864661:0.834325:0.864661:0.817936:0.854857:0.817936:0.000000
y:@0.864661:0.834325:0.872142:0.834325:0.872142:0.818932:0.864661:0.818932:0.000000
∆:@0.854857:0.849414:0.864661:0.849414:0.864661:0.833025:0.854857:0.833025:0.000000
x:@0.864661:0.849414:0.872124:0.849414:0.872124:0.834021:0.864661:0.834021:0.000000
m:@0.752750:0.877185:0.767381:0.877185:0.767381:0.861792:0.752750:0.861792:0.000000
 = :@0.767381:0.877185:0.786435:0.877185:0.786435:0.860796:0.767381:0.860796:0.000000:0.000000:0.000000
y:@0.793074:0.871252:0.800556:0.871252:0.800556:0.855859:0.793074:0.855859:0.000000
2:@0.800554:0.871901:0.805797:0.871901:0.805797:0.862346:0.800554:0.862346:0.000000
 – :@0.805798:0.871252:0.823083:0.871252:0.823083:0.854863:0.805798:0.854863:0.000000:0.000000:0.000000
y:@0.823083:0.871252:0.830565:0.871252:0.830565:0.855859:0.823083:0.855859:0.000000
1:@0.830565:0.871901:0.835807:0.871901:0.835807:0.862346:0.830565:0.862346:0.000000
x:@0.793091:0.886339:0.800554:0.886339:0.800554:0.870946:0.793091:0.870946:0.000000
2:@0.800554:0.888246:0.805797:0.888246:0.805797:0.878691:0.800554:0.878691:0.000000
 – :@0.805798:0.886339:0.823083:0.886339:0.823083:0.869950:0.805798:0.869950:0.000000:0.000000:0.000000
x:@0.823083:0.886339:0.830546:0.886339:0.830546:0.870946:0.823083:0.870946:0.000000
1:@0.830546:0.888246:0.835789:0.888246:0.835789:0.878691:0.830546:0.878691:0.000000
y:@0.377893:0.767790:0.385587:0.767790:0.385587:0.751960:0.377893:0.751960:0.000000
x:@0.716844:0.904926:0.724519:0.904926:0.724519:0.889096:0.716844:0.889096:0.000000
0:@0.385708:0.905068:0.393928:0.905068:0.393928:0.890086:0.385708:0.890086:0.000000
y:@0.379312:0.850227:0.386151:0.850227:0.386151:0.836156:0.379312:0.836156:0.000000
1:@0.386152:0.853118:0.390944:0.853118:0.390944:0.844384:0.386152:0.844384:0.000000
y:@0.379312:0.783032:0.386151:0.783032:0.386151:0.768961:0.379312:0.768961:0.000000
2:@0.386152:0.785925:0.390944:0.785925:0.390944:0.777190:0.386152:0.777190:0.000000
x:@0.482063:0.905964:0.488885:0.905964:0.488885:0.891893:0.482063:0.891893:0.000000
1:@0.488884:0.908857:0.493677:0.908857:0.493677:0.900123:0.488884:0.900123:0.000000
x:@0.631281:0.905964:0.638104:0.905964:0.638104:0.891893:0.631281:0.891893:0.000000
2:@0.638103:0.908857:0.642896:0.908857:0.642896:0.900123:0.638103:0.900123:0.000000
P x y:@0.582755:0.772124:0.630396:0.772124:0.630396:0.756294:0.582755:0.756294:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.591776:0.775377:0.597168:0.775377:0.597168:0.765551:0.591776:0.765551:0.000000
( ,  ):@0.597167:0.772124:0.640810:0.772124:0.640810:0.755270:0.597167:0.755270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.609863:0.775377:0.615255:0.775377:0.615255:0.765551:0.609863:0.765551:0.000000
2:@0.630397:0.775377:0.635788:0.775377:0.635788:0.765551:0.630397:0.765551:0.000000
∆  =   – :@0.645415:0.821605:0.713641:0.821605:0.713641:0.804751:0.645415:0.804751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.655497:0.821605:0.663190:0.821605:0.663190:0.805775:0.655497:0.805775:0.000000
y:@0.682785:0.821605:0.690479:0.821605:0.690479:0.805775:0.682785:0.805775:0.000000
2:@0.690474:0.824858:0.695866:0.824858:0.695866:0.815032:0.690474:0.815032:0.000000
y:@0.713641:0.821605:0.721335:0.821605:0.721335:0.805775:0.713641:0.805775:0.000000
1:@0.721334:0.824858:0.726726:0.824858:0.726726:0.815032:0.721334:0.815032:0.000000
∆  =   – :@0.514695:0.864310:0.582888:0.864310:0.582888:0.847456:0.514695:0.847456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.524777:0.864310:0.532451:0.864310:0.532451:0.848480:0.524777:0.848480:0.000000
x:@0.552046:0.864310:0.559722:0.864310:0.559722:0.848480:0.552046:0.848480:0.000000
2:@0.559722:0.867564:0.565113:0.867564:0.565113:0.857738:0.559722:0.857738:0.000000
x:@0.582888:0.864310:0.590564:0.864310:0.590564:0.848480:0.582888:0.848480:0.000000
1:@0.590563:0.867564:0.595955:0.867564:0.595955:0.857738:0.590563:0.857738:0.000000
P x y:@0.430035:0.840062:0.477676:0.840062:0.477676:0.824232:0.430035:0.824232:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.439056:0.843315:0.444448:0.843315:0.444448:0.833490:0.439056:0.833490:0.000000
( ,  ):@0.444447:0.840062:0.488090:0.840062:0.488090:0.823208:0.444447:0.823208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.457144:0.843315:0.462535:0.843315:0.462535:0.833490:0.457144:0.833490:0.000000
1:@0.477675:0.843315:0.483067:0.843315:0.483067:0.833490:0.477675:0.833490:0.000000
Función lineal. Problemas:@0.286308:0.079033:0.733275:0.079033:0.733275:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.159692:0.108604:0.159692:0.011516:0.094760:0.011516:0.000000
Los dispositivos electrónicos :@0.088362:0.323745:0.262307:0.323745:0.262307:0.310336:0.088362:0.310336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son de enorme ayuda en la :@0.095765:0.337324:0.262307:0.337324:0.262307:0.323915:0.095765:0.323915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
construcción de funciones.:@0.097046:0.350903:0.259005:0.350903:0.259005:0.337494:0.097046:0.337494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.070380:0.183680:0.070380:0.178573:0.058298:0.178573:0.058298:0.183680:0.000000
Shutterstock:@0.070380:0.178573:0.070380:0.140855:0.058469:0.140855:0.058469:0.178573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.108785:0.927681:0.108785:0.922573:0.096703:0.922573:0.096703:0.927681:0.000000
Shutterstock:@0.108785:0.922573:0.108785:0.884855:0.096874:0.884855:0.096874:0.922573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.711212:0.267423:0.717946:0.267423:0.717946:0.253569:0.711212:0.253569:0.000000
 = 2  + 5:@0.717946:0.267423:0.775147:0.267423:0.775147:0.252673:0.717946:0.252673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.743188:0.267423:0.749905:0.267423:0.749905:0.253569:0.743188:0.253569:0.000000
Mira el video del enlace. :@0.084439:0.465850:0.248425:0.465850:0.248425:0.450951:0.084439:0.450951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende cómo dibujar :@0.093368:0.480938:0.248428:0.480938:0.248428:0.466039:0.093368:0.466039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una función lineal sin usar :@0.071741:0.496025:0.248428:0.496025:0.248428:0.481126:0.071741:0.481126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la tabla de valores.:@0.122668:0.511113:0.244758:0.511113:0.244758:0.496214:0.122668:0.496214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/10mt07:@0.141364:0.529759:0.244759:0.529759:0.244759:0.514633:0.141364:0.514633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué sucede con la recta, si :@0.073567:0.619458:0.247773:0.619458:0.247773:0.605465:0.073567:0.605465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la pendiente es negativa?:@0.085176:0.634546:0.244756:0.634546:0.244756:0.620552:0.085176:0.620552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.146708:0.433126:0.197179:0.433126:0.197179:0.416226:0.146708:0.416226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.50. :@0.290067:0.954959:0.338404:0.954959:0.338404:0.944205:0.290067:0.944205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definir y reconocer una función lineal de manera algebraica y gráfica (con o sin el empleo de la tecnología), e identificar :@0.338639:0.954959:0.903633:0.954959:0.903633:0.944530:0.338639:0.944530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.354822:0.954959:0.357390:0.954959:0.357390:0.944530:0.354822:0.944530:0.000000
 :@0.647902:0.954959:0.650470:0.954959:0.650470:0.944530:0.647902:0.944530:0.000000
 :@0.884213:0.954959:0.886781:0.954959:0.886781:0.944530:0.884213:0.944530:0.000000
su monotonía a partir de la gráfica o su pendiente.:@0.290067:0.965521:0.524843:0.965521:0.524843:0.955091:0.290067:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.436496:0.965521:0.439064:0.965521:0.439064:0.955091:0.436496:0.955091:0.000000