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

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

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

perpendicular

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

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

Solution steps

Find the line

y = mx + b

perpendicular to

y = - 4 x + 2

that passes through

(4, 2)

Find the slope of

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

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

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