what is the slope of the line that passes through the points (-5,8) and (-5,4)? write your answer in…
what is the slope of the line that passes through the points (-5,8) and (-5,4)? write your answer in simplest form.
Answer
Explanation:
Step1: Recall slope formula
The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.
Step2: Identify the points
Let $(x_1,y_1)=(-5,8)$ and $(x_2,y_2)=(-5,4)$.
Step3: Substitute values
$m=\frac{4 - 8}{-5-(-5)}=\frac{-4}{-5 + 5}=\frac{-4}{0}$.
Step4: Determine the slope
Since division by zero is undefined, the slope of the line is undefined.
Answer:
Undefined