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

Undefined

Explanation:

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

`Slope,m=(y_2-y_1)/(x_2-x_1)`

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

Substitute:

`\begin{gathered} m=(-11-(-1))/(-8-(-8)) \\ =(-11+1)/(-8+8) \\ =-(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.