Choose a point that the perpendicular line will pass through.
(
0
,
0
)
Simplify
1
3
x
.
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y
=
x
3
−
5
Use the slope-intercept form to find the slope.
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m
=
1
3
The equation of a perpendicular line to
y
=
x
3
−
5
must have a slope that is the negative reciprocal of the original slope.
m
perpendicular
=
−
1
1
3
Simplify
−
1
1
3
to find the slope of the perpendicular line.
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m
perpendicular
=
−
3
Find the equation of the perpendicular line using the point-slope formula.
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y
=
−
3
x
