# How do you find the slope that is perpendicular to the line 5x+y=2?

Oct 5, 2016

$\frac{1}{5}$

#### Explanation:

A straight line in slope and intercept form is: $y = m x + c$
Where $m$ is the slope and $c$ is the intercept on the $y$-axis

For two lines to be perpendicular to one another the product of their slopes must $= - 1$

In this example: $y = - 5 x + 2 \to m = - 5$

Hence the slope of the line perpendicular $= \frac{- 1}{-} 5 = \frac{1}{5}$