Question

What is the slope of the line perpendicular to `y=-3/4x+11`?

Answer 1

`4/3`

Explanation:

First, identify your slope. The function you presented follows `y=mx+b` wherein `m` is the slope, which is `-3/4`.

The slope of the line perpendicular to a given slope is the negative reciprocal of it.

That is, if we have a slope `m_1`, and a slope perpendicular to it, `m_2`, then, `m_1*m_2=-1`

In your case, `4/3*-3/4=-1`, thus the answer `4/3`.