What is the perpendicular y=-5/6 x+1/6 ,(5,-4) ?

The perpendicular y=-5/6 x+1/6 ,(5,-4) is y= 6/5 x-10

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perpendicular y=-5/6 x+1/6 ,(5,-4)

perpendicular

y = - \frac{5}{6} x + \frac{1}{6}, (5, - 4)

y = \frac{6}{5} x - 10

Solution steps

Find the line

y = mx + b

perpendicular to

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

that passes through

(5, - 4)

Find the slope of

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

Compute the slope of the perpendicular line:

m_{p} = \frac{6}{5}

Find the line with slope m=

\frac{6}{5}

and passing through

(5, - 4) : y = \frac{6}{5} x - 10

y = \frac{6}{5} x - 10

f (x) = 3 x^{2} + x + 2

x + 3 - 2

f (x) = x 50 - x^{2}

f (x) = 2 x^{3} - 96 x + 42

x - 2

What is the perpendicular y=-5/6 x+1/6 ,(5,-4) ?
The perpendicular y=-5/6 x+1/6 ,(5,-4) is y= 6/5 x-10