What is the perpendicular 2x+6y=12,(1,3) ?

The perpendicular 2x+6y=12,(1,3) is y=3x

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perpendicular 2x+6y=12,(1,3)

perpendicular

2 x + 6 y = 12, (1, 3)

y = 3 x

Solution steps

Find the line

y = mx + b

perpendicular to

2 x + 6 y = 12

that passes through

(1, 3)

Find the slope of

2 x + 6 y = 12 : m = - \frac{1}{3}

Compute the slope of the perpendicular line:

m_{p} = 3

Find the line with slope m=

3

and passing through

(1, 3) : y = 3 x

y = 3 x

What is the perpendicular 2x+6y=12,(1,3) ?
The perpendicular 2x+6y=12,(1,3) is y=3x