# What is the slope perpendicular to the line -6x -8y = 8?

Sep 11, 2017

$\frac{4}{3}$

#### Explanation:

We have:

$- 6 x - 8 y = 8$

We put this into standard form $y = m x + c$ by rearranging:

$8 y = - 6 x - 8$
$\therefore 4 y = - 3 x - 4$
$\therefore y = - \frac{3}{4} x - 1$

So the slope of the given line is $m = - \frac{3}{4}$

And, the slope of a perpendicular line is:

${m}_{p} = - \frac{1}{m} = \frac{4}{3}$