Find the slope that is perpendicular to the line y=(−3x)

Annie French

Annie French

Answered question

2022-11-05

Find the slope that is perpendicular to the line y=(−3x)

Answer & Explanation

smeachtaczm

smeachtaczm

Beginner2022-11-06Added 14 answers

The standard general form of a linear equation in slope-intercept form is:
XXXy=mx+b
with slope m and y-intercept b.

The given equation y=(−3x)
can be re-written to be in explicit slope-intercept form as:
XXXy=(−3)x+0
with slope (−3)

If a line has a slope of
then all lines perpendicular to it have a slope of ( - 1 m )

Since y=−3x has a slope of m=−3
any line perpendicular to it will have a slope of
XXX ( - 1 m ) = - ( 1 - 3 ) = 1 3

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