What is the perpendicular y=2x-3,(-7,-2) ?

The perpendicular y=2x-3,(-7,-2) is y=-1/2 x-11/2

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perpendicular y=2x-3,(-7,-2)

perpendicular

y = 2 x - 3, (- 7, - 2)

y = - \frac{1}{2} x - \frac{11}{2}

Solution steps

Find the line

y = mx + b

perpendicular to

y = 2 x - 3

that passes through

(- 7, - 2)

Find the slope of

y = 2 x - 3 : m = 2

Compute the slope of the perpendicular line:

m_{p} = - \frac{1}{2}

Find the line with slope m=

- \frac{1}{2}

and passing through

(- 7, - 2) : y = - \frac{1}{2} x - \frac{11}{2}

y = - \frac{1}{2} x - \frac{11}{2}

What is the perpendicular y=2x-3,(-7,-2) ?
The perpendicular y=2x-3,(-7,-2) is y=-1/2 x-11/2