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

The perpendicular y= 1/4 x+1,(-2,1) is y=-4x-7

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perpendicular y= 1/4 x+1,(-2,1)

perpendicular

y = \frac{1}{4} x + 1, (- 2, 1)

y = - 4 x - 7

Solution steps

Find the line

y = mx + b

perpendicular to

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

that passes through

(- 2, 1)

Find the slope of

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

Compute the slope of the perpendicular line:

m_{p} = - 4

Find the line with slope m=

- 4

and passing through

(- 2, 1) : y = - 4 x - 7

y = - 4 x - 7

What is the perpendicular y= 1/4 x+1,(-2,1) ?
The perpendicular y= 1/4 x+1,(-2,1) is y=-4x-7