# How do you find the slope parallel to -5x + y = -3?

Jun 22, 2015

Add $5 x$ to both sides to get:

$y = 5 x + \left(- 3\right)$

which is slope-intercept form, hence slope is $5$

Any parallel line will have the same slope.

#### Explanation:

Given $- 5 x + y = - 3$

Add $5 x$ to both sides to get:

$y = 5 x + \left(- 3\right)$

This is in slope-intercept form, being in the form:

$y = m x + c$

where $m = 5$ is the slope and $c = - 3$ is the intercept (the $y$ coordinate of the intersection of the line with the $y$ axis.

Any line parallel to this will have the same slope, $5$ (just a different value of $c$).

Any line perpendicular to it will have slope $- \frac{1}{m} = - \frac{1}{5}$