Question

What is the slope of a line that is perpendicular to a slope of 0?

Answer 1

Undefined.

Explanation:

That is the only slope which cannot be defined by a number!

A line with a slope of zero is a horizontal line where, for any change in x, the change in y is always 0.

`m = 0/3, 0/8, 0/x` as long as x is not 0.

The line perpendicular to this is a vertical line which has a slope which is 'undefined'. For any change in y, the change in x is always 0, but we cannot divide by 0.

`m = 6/0, (-5)/0, y/0` etc. The slope remains undefined!

Answer 2

A line that has a slope of `0` has no rise and is therefore a horizontal line. The perpendicular line to this would be a vertical line whose slope is undefined as there would be `0` run.

Explanation:

A slope of `0` is a horizontal line with no rise. This line is represented as `y =`

An undefined slope is a vertical line with no run. This line is represented as `x=`