What is the perpendicular 6x-9y=-54 ?

The perpendicular 6x-9y=-54 is y=-3/2 x+b

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perpendicular 6x-9y=-54

perpendicular

6 x - 9 y = - 54

y = - \frac{3}{2} x + b

Solution steps

Find the slope of

6 x - 9 y = - 54 : m = \frac{2}{3}

Compute the slope of the perpendicular line:

m_{p} = - \frac{3}{2}

Line with slope m=

- \frac{3}{2} : y = - \frac{3}{2} x + b

y = - \frac{3}{2} x + b

f (x) = \frac{x + 3}{x ^{2} - 9}

f (x) = (\frac{6}{5})^{- x}

f (x) = 3 x^{5}

f (x) = 2 - 3 cos (π x - \frac{3}{2} π)

f (x) = 6