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Ecuación de la recta: cuestionario

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Ecuación de la recta: cuestionario

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Prueba de rectas y ecuaciones

Created by

Bladimir Suntasig
Bladimir Suntasig
Ecuador

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Ecuación de la recta: cuestionario
 

Ecuación de la recta: cuestionarioOnline version

Prueba de rectas y ecuaciones

by Bladimir Suntasig
1

¿Qué forma representa la ecuación de una recta con pendiente m y ordenada al origen b?

2

Si una recta tiene pendiente 2 y pasa por (0, -3), ¿cuál es la ecuación en forma y = mx + b?

3

La pendiente de una recta que pasa por (1,2) y (3,6) es:

4

Si una recta tiene la ecuación 2x + 3y = 12, ¿cuál es su pendiente en forma y = mx + b?

5

¿Qué representa la pendiente de una recta en un gráfico?

6

¿Qué significa la ordenada al origen en y = mx + b?

7

Convierte la recta 4x - y = 5 a la forma y = mx + b.

Explicación

La forma pendiente-intercepto es y = mx + b, donde m es la pendiente y b, la ordenada al origen.

La recta pasa por (0,-3), por lo que b = -3. Con m = 2, y = 2x - 3.

Pendiente m = (6-2)/(3-1) = 4/2 = 2.

Despejando: 3y = -2x + 12 → y = (-2/3)x + 4, por tanto m = -2/3.

La pendiente indica cuán inclinada está la recta.

Al x = 0, y = b, que es la ordenada al origen.

Despeja y: y = 4x - 5, así m = 4, b = -5.

 
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