What is the perpendicular y=4x-8,(0,5.5) ?

The perpendicular y=4x-8,(0,5.5) is y=-1/4 x+5.5

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perpendicular y=4x-8,(0,5.5)

perpendicular

y = 4 x - 8, (0, 5.5)

y = - \frac{1}{4} x + 5.5

Solution steps

Find the line

y = mx + b

perpendicular to

y = 4 x - 8

that passes through

(0, 5.5)

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

(0, 5.5) : y = - \frac{1}{4} x + 5.5

y = - \frac{1}{4} x + 5.5

What is the perpendicular y=4x-8,(0,5.5) ?
The perpendicular y=4x-8,(0,5.5) is y=-1/4 x+5.5