Question

1. find the rate of change from the two - points. (3, 10) and (-12, 7)

Explanation:

Step1: Identify the formula for rate of change

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

Step2: Assign values to variables

Let $(x_1,y_1)=(3,10)$ and $(x_2,y_2)=(-12,7)$. Then $x_1 = 3$, $y_1=10$, $x_2=-12$, $y_2 = 7$.

Step3: Calculate the rate of change

$m=\frac{7 - 10}{-12 - 3}=\frac{-3}{-15}=\frac{1}{5}$

Answer:

$\frac{1}{5}$