Answer:
y = 3/2x - 3
Explanation:
first find slope (m):
m = (-3/2 -(-15/2)) / (1 - (-3)) = (12/2) / 4 = 6/4 = 3/2
plug the point (1, -3/2) into the point-slope form (y-y1) = m(x-x1):
y - (-3/2) = 3/2(x-1)
y + 3/2 = 3/2x -3/2
now put it in slope-intercept form y = mx + b:
y = 3/2x -6/2
y = 3/2x - 3