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

The perpendicular y=-1/4 x+3,(3,-3) is y=4x-15

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perpendicular y=-1/4 x+3,(3,-3)

perpendicular

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

y = 4 x - 15

Solution steps

Find the line

y = mx + b

perpendicular to

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

that passes through

(3, - 3)

Find the slope of

y = - \frac{1}{4} x + 3 : m = - \frac{1}{4}

Compute the slope of the perpendicular line:

m_{p} = 4

Find the line with slope m=

4

and passing through

(3, - 3) : y = 4 x - 15

y = 4 x - 15

What is the perpendicular y=-1/4 x+3,(3,-3) ?
The perpendicular y=-1/4 x+3,(3,-3) is y=4x-15