# How do you find the slope that is perpendicular to the line 2x + y = 6 ?

Aug 13, 2016

The slope perpendicular to $m = - 2 \text{ is m } = + \frac{1}{2}$

#### Explanation:

Change the equation into "slope/intercept" form, $y = m x + c$

$y = - 2 x + 6 , \text{ } m = - 2 \mathmr{and} c = 6$

The slope perpendicular to $m = - 2 \text{ is } m = + \frac{1}{2}$

For perpendicular lines, one slope is the negative reciprocal of the other.

If ${m}_{1} = \frac{a}{b} \text{ then, } {m}_{2} = - \frac{b}{a}$