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

Question

1167 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-13T12:00:58

#m = -1/2#

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 = 2/1#

the perpendicular slope is then:

#m = -1/2#

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

#2/1 xx -1/2 = -1#