Question

What is the slope of the line perpendicular to `y=8/11x-4`?

Answer 1

`-11/8`

Explanation:

Let `a_1` be the slope of this line.
`a_1=8/11`.

Let `a_2` be the slope of the line perpendicular to line.

Then, `a_1 a_2=-1`. (this is a property of the slopes of perpendicular lines you need to know, that is, multiplying the slopes of two perpendicular lines should always give you -1).

i.e. `8/11 a_2=-1`

i.e. `a_2 = -11/8`

That's it.