What is the perpendicular y=-1/2 (x-1)+4 ?

The perpendicular y=-1/2 (x-1)+4 is y=2x+b

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perpendicular y=-1/2 (x-1)+4

perpendicular

y = - \frac{1}{2} (x - 1) + 4

y = 2 x + b

Solution steps

Find the slope of

y = - \frac{1}{2} (x - 1) + 4 : m = - \frac{1}{2}

Compute the slope of the perpendicular line:

m_{p} = 2

Line with slope m=

2 : y = 2 x + b

y = 2 x + b

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