What is the perpendicular y=4x+6,(4,2) ?

The perpendicular y=4x+6,(4,2) is y=-1/4 x+3

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perpendicular y=4x+6,(4,2)

perpendicular

y = 4 x + 6, (4, 2)

y = - \frac{1}{4} x + 3

Solution steps

Find the line

y = mx + b

perpendicular to

y = 4 x + 6

that passes through

(4, 2)

Find the slope of

y = 4 x + 6 : 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 + 3

y = - \frac{1}{4} x + 3

f (x) = \frac{1}{2 x}

- x + 9

y = 4 x

\frac{6}{x} + 3

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

What is the perpendicular y=4x+6,(4,2) ?
The perpendicular y=4x+6,(4,2) is y=-1/4 x+3