What is the perpendicular y=-1/2 x+3,(3,6) ?

The perpendicular y=-1/2 x+3,(3,6) is y=2x

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perpendicular y=-1/2 x+3,(3,6)

perpendicular

y = 2 x

Solution steps

Find the line

y = mx + b

perpendicular to

y = - \frac{1}{2} x + 3

that passes through

(3, 6)

Find the slope of

y = - \frac{1}{2} x + 3 : m = - \frac{1}{2}

Compute the slope of the perpendicular line:

m_{p} = 2

Find the line with slope m=

2

and passing through

(3, 6) : y = 2 x

y = 2 x

What is the perpendicular y=-1/2 x+3,(3,6) ?
The perpendicular y=-1/2 x+3,(3,6) is y=2x