Question

What is the slope of the line perpendicular to `y=-12/5x +15`?

Answer 1

`5/12`

Explanation:

The slope of this line is `-12/5`.

Perpendicular lines have opposite reciprocal slopes. To find an opposite reciprocal, multiply by `-1` and flip the numerator and denominator.

Hence the opposite reciprocal of `-12/5` and the slope of a line perpendicular to a line with a slope of `-12/5` is `5/12`.