What is the perpendicular y=4x+8,(4,8) ?

The perpendicular y=4x+8,(4,8) is y=-1/4 x+9

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perpendicular y=4x+8,(4,8)

perpendicular

y = - \frac{1}{4} x + 9

Solution steps

Find the line

y = mx + b

perpendicular to

y = 4 x + 8

that passes through

(4, 8)

Find the slope of

y = 4 x + 8 : m = 4

Compute the slope of the perpendicular line:

m_{p} = - \frac{1}{4}

Find the line with slope m=

- \frac{1}{4}

and passing through

(4, 8) : y = - \frac{1}{4} x + 9

y = - \frac{1}{4} x + 9

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