What is the perpendicular y=-4x-6,(9,4) ?

The perpendicular y=-4x-6,(9,4) is y= 1/4 x+7/4

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perpendicular y=-4x-6,(9,4)

perpendicular

y = \frac{1}{4} x + \frac{7}{4}

Solution steps

Find the line

y = mx + b

perpendicular to

y = - 4 x - 6

that passes through

(9, 4)

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

(9, 4) : y = \frac{1}{4} x + \frac{7}{4}

y = \frac{1}{4} x + \frac{7}{4}

What is the perpendicular y=-4x-6,(9,4) ?
The perpendicular y=-4x-6,(9,4) is y= 1/4 x+7/4