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

Jan 2, 2016

$m = - \frac{7}{4}$

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 $y = \frac{4}{7} x + 13$

We know the original slope if $m = \frac{4}{7}$

Perpendicular slope is ${m}_{2} = - \frac{7}{4}$