what is the slope of the line that passes through the points (-8, -6) and (-8, 4)? write your answer in…
what is the slope of the line that passes through the points (-8, -6) and (-8, 4)? write your answer in simplest form.
Answer
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 $(x_1,y_1)=(-8,-6)$ and $(x_2,y_2)=(-8,4)$.
Step3: Substitute into the formula
$m=\frac{4-(-6)}{-8 - (-8)}=\frac{4 + 6}{-8+8}=\frac{10}{0}$. Since division by zero is undefined, the slope of the line is undefined.
Answer:
Undefined