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Conoce la recta y su pendiente

Created by

Cecilia G
Cecilia G
Argentina

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Desafío de Función Lineal
 

Desafío de Función LinealOnline version

Conoce la recta y su pendiente

by Cecilia G
1

¿Qué describe la función lineal y = mx + b?

2

En y = mx + b, ¿qué representa m?

3

Si m = 0 en y = mx + b, ¿qué tipo de recta obtienes?

4

¿Qué indica b en la ecuación y = mx + b?

5

Si una recta pasa por (0,2) y tiene pendiente 3, ¿cuál es la ecuación?

6

¿Qué indica una pendiente positiva m > 0?

7

Si la recta tiene m < 0, ¿cómo se comporta?

8

¿Qué significa que la recta y = mx + b corte al eje y en (0,b)?

9

Si dos funciones lineales tienen la misma pendiente pero distinto b, ¿qué relación tienen?

10

Si la gráfica de y = mx + b pasa por (2,7) y (0,3), ¿cuál es m?

Explicación

La recta representa la relación entre x e y con pendiente m y ordenada al origen b.

m indica cuántas unidades sube y por cada unidad de x.

Con m = 0, y = b es constante.

b es la coordenada de y cuando x = 0.

Con b = 2 y m = 3, se obtiene y = 3x + 2.

Una pendiente positiva sube de izquierda a derecha.

Pendiente negativa desciende de izquierda a derecha.

Al x = 0, y = b.

Misma pendiente, distinta ordenada al origen -> paralelas.

Pendiente m = (7-3)/(2-0) = 4/2 = 2.

 
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