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Quiz: Pendiente

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About this activity

Ejercicios sobre pendiente

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Ecuador

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Quiz: Pendiente
 

Quiz: PendienteOnline version

Ejercicios sobre pendiente

by OROZCO DIAZ DARWIN ANDRES
1

¿Cuál es la fórmula de la pendiente entre dos puntos (x1,y1) y (x2,y2)?

2

Entre (1,2) y (3,6), ¿cuál es la pendiente m?

3

Una recta horizontal tiene pendiente:

4

Una recta vertical tiene pendiente:

5

Si la pendiente es positiva, la recta:

6

La pendiente de y = 3x + 2 es:

7

Entre (2,4) y (6,6) la pendiente es:

8

Entre (0,0) y (4,-2) la pendiente es:

9

La ecuación de una recta a partir de pendiente m y ordenada al origen b es:

10

Si la pendiente es m y Δx es 5, ¿cuánto es Δy?

Explicación

La pendiente es Δy/Δx, es decir (y2−y1)/(x2−x1). Las otras opciones no representan la pendiente correcta.

m = (6−2)/(3−1) = 4/2 = 2. El valor correcto es 2.

Las rectas horizontales tienen Δy = 0, por lo tanto m = 0.

Para una recta vertical, x2−x1 = 0; la pendiente no está definida.

Una pendiente positiva indica que al avanzar hacia la derecha, la recta sube.

En la forma y = mx + b, la pendiente es m. Aquí m = 3.

m = (6−4)/(6−2) = 2/4 = 0.5.

m = (-2−0)/(4−0) = -2/4 = -0.5.

La forma correcta es y = mx + b.

Δy = m·Δx. Con Δx = 5, Δy = 5m.

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