Question

Would be awesome if someone could help me out with this, please, and thank you. Write an equation of the line perpendicular to the given line that contains P.
​P(5​, -6​); y = 1/3x + 2

Answer 1

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