What is the perpendicular y+6=-1/5 (x+3),(-5,-9) ?

The perpendicular y+6=-1/5 (x+3),(-5,-9) is y=5x+16

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perpendicular y+6=-1/5 (x+3),(-5,-9)

perpendicular

y + 6 = - \frac{1}{5} (x + 3), (- 5, - 9)

y = 5 x + 16

Solution steps

Find the line

y = mx + b

perpendicular to

y + 6 = - \frac{1}{5} (x + 3)

that passes through

(- 5, - 9)

Find the slope of

y + 6 = - \frac{1}{5} (x + 3) : m = - \frac{1}{5}

Compute the slope of the perpendicular line:

m_{p} = 5

Find the line with slope m=

5

and passing through

(- 5, - 9) : y = 5 x + 16

y = 5 x + 16

What is the perpendicular y+6=-1/5 (x+3),(-5,-9) ?
The perpendicular y+6=-1/5 (x+3),(-5,-9) is y=5x+16