How do you find the slope of a line perpendicular to #y=2x#?

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How do you find the slope of a line perpendicular to #y=2x#?

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Answer 1 · 2015-06-18T13:13:44

All lines perpendicular to #y=2x# have a slope of #(-1/2)#

Explanation:

#y=2x# has a slope of #2#
#color(white)("XXXX")#this follows from the observation that
#color(white)("XXXX")##color(white)("XXXX")##y=2x#
#color(white)("XXXX")# is of the slope-intercept form with a slope of #2#
#color(white)("XXXX")#(and a y-intercept of #0#).

If a line has a slope of #m# then
all lines parallel to it have a slope of #-1/m#.

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How do you find the slope of a line perpendicular to #y=2x#?

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