Answer:
y = 3/2x + 6
Step-by-step explanation:
Equation of the given line
- slope = rise/run = -2/3
- y-intercept = (0, -2)
- Equation is y = -2/3x - 2
Perpendicular
- Slope is the negative reciprocal
- m ⇒ -(1/[-2/3]) = 3/2
- Intersection point is (-2, 3)
Using Point-slope equation
- y - 3 = 3/2 (x + 2)
- y - 3 = 3/2x + 3
- y = 3/2x + 6
