What is the perpendicular y=-x/5-7,(3,-9) ?

The perpendicular y=-x/5-7,(3,-9) is y=5x-24

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perpendicular y=-x/5-7,(3,-9)

perpendicular

y = 5 x - 24

Solution steps

Find the line

y = mx + b

perpendicular to

y = - \frac{x}{5} - 7

that passes through

(3, - 9)

Find the slope of

y = - \frac{x}{5} - 7 : m = - \frac{1}{5}

Compute the slope of the perpendicular line:

m_{p} = 5

Find the line with slope m=

5

and passing through

(3, - 9) : y = 5 x - 24

y = 5 x - 24

What is the perpendicular y=-x/5-7,(3,-9) ?
The perpendicular y=-x/5-7,(3,-9) is y=5x-24