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

The perpendicular 2x+6y=1,(-2,2) is y=3x+8

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

perpendicular

2 x + 6 y = 1, (- 2, 2)

y = 3 x + 8

Solution steps

Find the line

y = mx + b

perpendicular to

2 x + 6 y = 1

that passes through

(- 2, 2)

Find the slope of

2 x + 6 y = 1 : m = - \frac{1}{3}

Compute the slope of the perpendicular line:

m_{p} = 3

Find the line with slope m=

3

and passing through

(- 2, 2) : y = 3 x + 8

y = 3 x + 8

What is the perpendicular 2x+6y=1,(-2,2) ?
The perpendicular 2x+6y=1,(-2,2) is y=3x+8