What is the slope m of a line that is perpendicular to the line represented by x = 8? (If an answer is undefined, enter UNDEFINED.)

The slope of a line is simply the ratio of a change in the vertical axis to the horizontal axis. The line perpendicular to has a slope of 0

Given that

See attachment for the line of

First, we determine the slope of

The slope of a line (m) is calculated as:

means that, the value of x is always 8; irrespective of the y-value.

So:

becomes

Assume the slope of the line perpendicular to is .

is calculated as follows:

Substitute

This gives

The slope of the line perpendicular to is 0.

Read more about slopes at

link

slope = 0

Step-by-step explanation:

x = 8 is a vertical line parallel to the y- axis

A line perpendicular to it is a horizontal line parallel to the x- axis.

The x- axis has a slope of zero thus the line perpendicular to x = 8 is zero