Question

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

Answer 1

`12/5`

Explanation:

`y=-5/12x-5`
Compare `y=mx+c`
`implies m=-5/12`
Slope of the given line is `-5/12`.

Let `m'` be the slope of line perpendicular to the given line.
If two lines are perpendicular then the product of their slopes is `-1`.
`implies mm'=-1`
`implies m'=-1/m=-1/(-5/12)=12/5`
`implies m'=12/5`
Therefore, the slope of the line perpendicular to the given line is `12/5`.