Question

what is the slope of the line that passes through the points (-10, -8) and (-9, -8)? 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 values

Let $(x_1,y_1)=(-10,-8)$ and $(x_2,y_2)=(-9,-8)$.

Step3: Substitute values into formula

$m=\frac{-8-(-8)}{-9 - (-10)}$.

Step4: Simplify the numerator and denominator

The numerator $-8-(-8)=-8 + 8=0$, and the denominator $-9-(-10)=-9 + 10 = 1$. So $m=\frac{0}{1}$.

Step5: Get the slope value

$m = 0$.

Answer:

$0$