Esta semana vamos a explicar la recta. Dentro de las posibles ecuaciones que tiene la recta, vamos a ver la ecuación general tanto en su forma implícita como explícita. Aprenderemos a representar una recta en el eje de coordenadas y los diferentes elementos de la ecuación de la recta, así como su significado.
EJERCICIOS:
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)
Para cada una de las siguientes funciones, construir una tabla de valores apropiada y
dibujar, a continuación, su gráfica, diciendo lo que sepas de cada una: