What is the perpendicular y= x/2-9,(-1,-2) ?

The perpendicular y= x/2-9,(-1,-2) is y=-2x-4

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perpendicular y= x/2-9,(-1,-2)

perpendicular

y = \frac{x}{2} - 9, (- 1, - 2)

y = - 2 x - 4

Solution steps

Find the line

y = mx + b

perpendicular to

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

that passes through

(- 1, - 2)

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

(- 1, - 2) : y = - 2 x - 4

y = - 2 x - 4

What is the perpendicular y= x/2-9,(-1,-2) ?
The perpendicular y= x/2-9,(-1,-2) is y=-2x-4