What is the perpendicular y= 3/2 x+6 ?

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

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perpendicular y= 3/2 x+6

perpendicular

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

Solution steps

Find the slope of

y = \frac{3}{2} x + 6 : m = \frac{3}{2}

Compute the slope of the perpendicular line:

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

Line with slope m=

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

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

What is the perpendicular y= 3/2 x+6 ?
The perpendicular y= 3/2 x+6 is y=-2/3 x+b