What is the perpendicular y=4x-2,(5,-11) ?

The perpendicular y=4x-2,(5,-11) is y=-1/4 x-39/4

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perpendicular y=4x-2,(5,-11)

perpendicular

y = 4 x - 2, (5, - 11)

y = - \frac{1}{4} x - \frac{39}{4}

Solution steps

Find the line

y = mx + b

perpendicular to

y = 4 x - 2

that passes through

(5, - 11)

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

(5, - 11) : y = - \frac{1}{4} x - \frac{39}{4}

y = - \frac{1}{4} x - \frac{39}{4}

What is the perpendicular y=4x-2,(5,-11) ?
The perpendicular y=4x-2,(5,-11) is y=-1/4 x-39/4