What is the perpendicular y=3x-7,(3,-5) ?

The perpendicular y=3x-7,(3,-5) is y=-1/3 x-4

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perpendicular y=3x-7,(3,-5)

perpendicular

y = 3 x - 7, (3, - 5)

y = - \frac{1}{3} x - 4

Solution steps

Find the line

y = mx + b

perpendicular to

y = 3 x - 7

that passes through

(3, - 5)

Find the slope of

y = 3 x - 7 : m = 3

Compute the slope of the perpendicular line:

m_{p} = - \frac{1}{3}

Find the line with slope m=

- \frac{1}{3}

and passing through

(3, - 5) : y = - \frac{1}{3} x - 4

y = - \frac{1}{3} x - 4

What is the perpendicular y=3x-7,(3,-5) ?
The perpendicular y=3x-7,(3,-5) is y=-1/3 x-4