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 point values

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

Step3: Substitute into formula

$m=\frac{-6 - (-6)}{9 - 5}=\frac{0}{4}$

Step4: Simplify the expression

$m=0$

Answer:

$0$