Answer:
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
