what is the slope of the line that passes through the points (1, -7) and (1, 13)? write your answer in…
what is the slope of the line that passes through the points (1, -7) and (1, 13)? write your answer in simplest form.
Answer
Explanation:
Step1: Recall slope formula
The slope $m$ of a line passing through 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
Here, $x_1 = 1,y_1=-7,x_2 = 1,y_2 = 13$.
Step3: Substitute into formula
$m=\frac{13-(-7)}{1 - 1}=\frac{13 + 7}{0}=\frac{20}{0}$. Since division by zero is undefined, the slope of the line is undefined.
Answer:
Undefined