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

The perpendicular-5x+y=5,(5,5) is y=-1/5 x+6

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perpendicular-5x+y=5,(5,5)

perpendicular

- 5 x + y = 5, (5, 5)

y = - \frac{1}{5} x + 6

Solution steps

Find the line

y = mx + b

perpendicular to

- 5 x + y = 5

that passes through

(5, 5)

Find the slope of

- 5 x + y = 5 : m = 5

Compute the slope of the perpendicular line:

m_{p} = - \frac{1}{5}

Find the line with slope m=

- \frac{1}{5}

and passing through

(5, 5) : y = - \frac{1}{5} x + 6

y = - \frac{1}{5} x + 6

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