How do you find the slope that is perpendicular to the line -25 + 8x = 5y?

May 28, 2018

$m ' = - \frac{5}{8}$

Explanation:

You need to do the algebra to get the equation in the slope intercept form:

$y = m x + b$

m is the slope.

$- 25 + 8 x = 5 y$

5y = 8x -25

$y = \frac{8}{5} y - 5$

$m = \frac{8}{5}$

The rule for perpendicular slope is:

$m ' = - \frac{1}{m}$

$m ' = - \frac{1}{\frac{8}{5}}$

$m ' = - \frac{5}{8}$