Question

What is the slope of the line perpendicular to `y=13/5x-3`?

Answer 1

`-5/13`

Explanation:

The slope of any line perpendicular to a line of slope `m` is `-1/m`

In our example, the equation is in slope intercept form, so the slope is easily read as the coefficient of `x`, namely `13/5`.

Hence the slope of any line perpendicular to this line is:

`-1/(13/5) = -5/13`