Answer:
y = 3/2 x - 11
Step-by-step explanation:
Recall that a perpendicular line to the expression:
2 x + 3 y = 15
3 y = - 2 x + 15
y = - 2/3 x + 15/3
is going to have a slope equal to the opposite of the reciprocal of the original (-2/3) slope. So, the slope of the perpendicular line must be: 3/2.
We use this value in a general point-slope form of a line, where we use the point (2, -8) :
y - (-8) = 3/2 (x - 2)
y + 8 = 3/2 x - 3*2/2
y + 8 = 3/2 x - 3
y = 3/2 x - 3 - 8
y = 3/2 x - 11
