Question

1. find the rate of change from the two points. (1, -2) and (3, 6)

Explanation:

Step1: Identify rate - of - change formula

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

Let $(x_1,y_1)=(1, - 2)$ and $(x_2,y_2)=(3,6)$. Then $x_1 = 1,y_1=-2,x_2 = 3,y_2 = 6$.

Step3: Calculate the rate of change

$m=\frac{6-(-2)}{3 - 1}=\frac{6 + 2}{2}=\frac{8}{2}=4$.

Answer:

4