What is the perpendicular y= 1/4 x+5,(0,2) ?

The perpendicular y= 1/4 x+5,(0,2) is y=-4x+2

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perpendicular y= 1/4 x+5,(0,2)

perpendicular

y = \frac{1}{4} x + 5, (0, 2)

y = - 4 x + 2

Solution steps

Find the line

y = mx + b

perpendicular to

y = \frac{1}{4} x + 5

that passes through

(0, 2)

Find the slope of

y = \frac{1}{4} x + 5 : m = \frac{1}{4}

Compute the slope of the perpendicular line:

m_{p} = - 4

Find the line with slope m=

- 4

and passing through

(0, 2) : y = - 4 x + 2

y = - 4 x + 2

f (x) = \frac{x + 5}{x ^{2} - 10 x + 25}

f (x) = (x + 1)^{2}

f (x) = \frac{3}{2}

f (x) = 17 x

f (x) = x - 1

What is the perpendicular y= 1/4 x+5,(0,2) ?
The perpendicular y= 1/4 x+5,(0,2) is y=-4x+2