Question

What is the slope of the line perpendicular to `y=4/7x+13`?

Answer 1

`m = -7/4`

Explanation:

The word perpendicular mean that two lines intersect "cut" each other at a 90 degree angle.

Therefore both line have slopes that are negative reciprocal to each other

Negative meant- opposite in side
Reciprocal- "flip flop" aka invert the slope

From your question `y = 4/7 x + 13`

We know the original slope if `m= 4/7`

Perpendicular slope is `m_2 = -7/4`