What is the perpendicular y=3x-4,(-6,2) ?

The perpendicular y=3x-4,(-6,2) is y=-1/3 x

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perpendicular y=3x-4,(-6,2)

perpendicular

y = 3 x - 4, (- 6, 2)

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

Solution steps

Find the line

y = mx + b

perpendicular to

y = 3 x - 4

that passes through

(- 6, 2)

Find the slope of

y = 3 x - 4 : 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

(- 6, 2) : y = - \frac{1}{3} x

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

What is the perpendicular y=3x-4,(-6,2) ?
The perpendicular y=3x-4,(-6,2) is y=-1/3 x