What is the perpendicular 2x+3y=5 ?

The perpendicular 2x+3y=5 is y= 3/2 x+b

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perpendicular 2x+3y=5

perpendicular

2 x + 3 y = 5

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

Solution steps

Find the slope of

2 x + 3 y = 5 : 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

9 y = 8 x - 4

f (x) = - 4 x^{2} - 12 x

y = 9 x^{2}

- 8 x^{2} - 12 x + 1

f (x) = \frac{x}{3 x - 1}