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

Step2: Identify the points' coordinates

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

Step3: Substitute values into formula

$m=\frac{-6-(-6)}{9 - 5}=\frac{-6 + 6}{9 - 5}$.

Step4: Simplify the expression

$\frac{-6 + 6}{9 - 5}=\frac{0}{4}=0$.

Answer:

$0$