What is the perpendicular 9=3y-6x,(4,-8) ?

The perpendicular 9=3y-6x,(4,-8) is y=-1/2 x-6

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perpendicular 9=3y-6x,(4,-8)

perpendicular

9 = 3 y - 6 x, (4, - 8)

y = - \frac{1}{2} x - 6

Solution steps

Find the line

y = mx + b

perpendicular to

9 = 3 y - 6 x

that passes through

(4, - 8)

Find the slope of

9 = 3 y - 6 x : m = 2

Compute the slope of the perpendicular line:

m_{p} = - \frac{1}{2}

Find the line with slope m=

- \frac{1}{2}

and passing through

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

y = - \frac{1}{2} x - 6

What is the perpendicular 9=3y-6x,(4,-8) ?
The perpendicular 9=3y-6x,(4,-8) is y=-1/2 x-6