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

The perpendicular y= 1/2 x+1,(1,4) is y=-2x+6

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

perpendicular

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

y = - 2 x + 6

Solution steps

Find the line

y = mx + b

perpendicular to

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

that passes through

(1, 4)

Find the slope of

y = \frac{1}{2} x + 1 : 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, 4) : y = - 2 x + 6

y = - 2 x + 6

What is the perpendicular y= 1/2 x+1,(1,4) ?
The perpendicular y= 1/2 x+1,(1,4) is y=-2x+6