Question

use the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ to calculate the slope of the line. the slope of the line is 2

Explanation:

Step1: Identify the points

Let $(x_1,y_1)=(-6,-8)$ and $(x_2,y_2)=(2,8)$.

Step2: Substitute into slope - formula

$m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{8-(-8)}{2-(-6)}$.

Step3: Simplify the numerator and denominator

The numerator $8-(-8)=8 + 8=16$, and the denominator $2-(-6)=2 + 6 = 8$.

Step4: Calculate the slope

$m=\frac{16}{8}=2$.

Answer:

$2$