What is the perpendicular 2x+3y=9 ?

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

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perpendicular 2x+3y=9

perpendicular

2 x + 3 y = 9

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

Solution steps

Find the slope of

2 x + 3 y = 9 : 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

\frac{1}{x ^{2} + x + 3}

\frac{4 x}{x + 4}

x + 3 y = 8

18 x + 15 y = - 90

y = 2 x + 4