Question

what is the slope of the line that passes through the points (-5,6) and (-9,-6)? write your answer in simplest form.

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign values to variables

Let $(x_1,y_1)=(-5,6)$ and $(x_2,y_2)=(-9,-6)$

Step3: Substitute into formula

$m=\frac{-6-6}{-9-(-5)}=\frac{-12}{-4}$

Step4: Simplify the fraction

$m=3$

Answer:

3