Question

What is the slope of the line that passes through the points (-8, -1) and(-8, -11)? Write youranswer in simplest form.

Answer 1

Answer:

Undefined

Explanation:

Given any two points (x1, y1) and (x2, y2), the slope of the line is calculated using the formula:

$Slope,m=\frac{y_2-y_1}{x_2-x_1}$

Let (x1, y1) = (-8,-1) and (x2, y2)=(-8,-11).

Substitute:

$\begin{gathered} m=\frac{-11-(-1)}{-8-(-8)} \\ =\frac{-11+1}{-8+8} \\ =-\frac{10}{0} \end{gathered}$

Since division by 0 is not possible, the slope of the line that passes through (-8, -1) and (-8, -11) is undefined.

In general, the slope of any vertical line is undefined.