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

Jul 13, 2016

$m = - \frac{1}{2}$

#### Explanation:

In lines are perpendicular, then the one slope is the negative reciprocal of the other,

(Turn it upside and change the sign.)

In this equation, $m = 2 = \frac{2}{1}$

the perpendicular slope is then:

$m = - \frac{1}{2}$

the test for perpendicular slopes is that their product is equal to -1.

$\frac{2}{1} \times - \frac{1}{2} = - 1$