What is the perpendicular y= x/2-9,(8,-7) ?

The perpendicular y= x/2-9,(8,-7) is y=-2x+9

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perpendicular y= x/2-9,(8,-7)

perpendicular

y = \frac{x}{2} - 9, (8, - 7)

y = - 2 x + 9

Solution steps

Find the line

y = mx + b

perpendicular to

y = \frac{x}{2} - 9

that passes through

(8, - 7)

Find the slope of

y = \frac{x}{2} - 9 : m = \frac{1}{2}

Compute the slope of the perpendicular line:

m_{p} = - 2

Find the line with slope m=

- 2

and passing through

(8, - 7) : y = - 2 x + 9

y = - 2 x + 9

What is the perpendicular y= x/2-9,(8,-7) ?
The perpendicular y= x/2-9,(8,-7) is y=-2x+9