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

The perpendicular y=2x,(1,2) is y=-1/2 x+5/2

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perpendicular y=2x,(1,2)

perpendicular

y = 2 x, (1, 2)

y = - \frac{1}{2} x + \frac{5}{2}

Solution steps

Find the line

y = mx + b

perpendicular to

y = 2 x

that passes through

(1, 2)

Find the slope of

y = 2 x : 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

(1, 2) : y = - \frac{1}{2} x + \frac{5}{2}

y = - \frac{1}{2} x + \frac{5}{2}

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