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

Dec 24, 2015

If the slope of the given line is $m$ then the slope of the perpendicular would be the negative reciprocal. That is $- \frac{1}{m}$.

#### Explanation:

Our line is $y = \frac{4}{7} x + 4$
This is in $y = m x + b$ form where$m$ is slope and $b$ is the y-interecept.

We can see the slope of the given line $m = \frac{4}{7}$

Therefore the slope of the perpendicular is given by $- \frac{1}{\frac{4}{7}}$

Which is $- \frac{7}{4}$

The slope of perpendicular to $y = \frac{4}{7} x + 4$ is $- \frac{7}{4}$