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

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

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perpendicular 3y=2x+5

perpendicular

3 y = 2 x + 5

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

Solution steps

Find the slope of

3 y = 2 x + 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