# How do you find the slope of a line perpendicular to 5y - 6x = 0?

Oct 16, 2016

The gradient of the perpendicular to $5 y - 6 x$ is$- \frac{5}{6}$

#### Explanation:

First write your equation in the form $y = m x + c$
In this form m is the gradient of the line and c is the y intercept.
$5 y - 6 x = 0$
$5 y = 6 x$
$y = \frac{6}{5} x$
The gradient to the perpendicular is the reciprocal of that of the line and the negative
So the gradient of the line is$\frac{6}{5}$ and the gradient of the perpendicular is $- \frac{5}{6}$