Question

1. if a graph shows a straight line passing through the points (0, 0) and (3, 6), what is the rate of change?

a. 2
b. 1
c. 4
d. 3

Explanation:

Step1: Recall rate of change formula

The rate of change (slope) between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Substitute given points

Let $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(3,6)$. Substitute into the formula: $\frac{6 - 0}{3 - 0}$

Step3: Calculate the value

Simplify the expression: $\frac{6}{3}=2$

Answer:

a. 2