What is the perpendicular-6x+2y=5,(-24,-2) ?

The perpendicular-6x+2y=5,(-24,-2) is y=-1/3 x-10

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perpendicular-6x+2y=5,(-24,-2)

perpendicular

- 6 x + 2 y = 5, (- 24, - 2)

y = - \frac{1}{3} x - 10

Solution steps

Find the line

y = mx + b

perpendicular to

- 6 x + 2 y = 5

that passes through

(- 24, - 2)

Find the slope of

- 6 x + 2 y = 5 : m = 3

Compute the slope of the perpendicular line:

m_{p} = - \frac{1}{3}

Find the line with slope m=

- \frac{1}{3}

and passing through

(- 24, - 2) : y = - \frac{1}{3} x - 10

y = - \frac{1}{3} x - 10

What is the perpendicular-6x+2y=5,(-24,-2) ?
The perpendicular-6x+2y=5,(-24,-2) is y=-1/3 x-10