Write the equation of the line perpendicular to 3x+2y=-8 that passes through (3,1). write you answer in slope-intercept form. show all your work!

y = (2/3)x - 1,  slope-intercept form

Step-by-step explanation:

3x + 2y = - 8

2y = -3x - 8

y = (-3/2) x - 4

Slope of this line is -3/2.

For the perpendicular line slope is 2/3.

Point - slope form is

(y - y1) = m(x - x1)

Point is (3,1). Slope m = 2/3.

y - 1 = (2/3)*(x - 3)

y - 1 = (2/3)x - 2

y = (2/3)x - 1,  slope-intercept form

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

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step-by-step explanation: