Answer:
y = (3/2)x + 3/2
Step-by-step explanation:
As we move from (-3, 6) to (3, -3), x increases by 6 from -3 to +3 and y decreases by 9 from 6 to -3. Thus, the slope of the line connecting these two points is m = rise / run = -9/6, or m = -3/2.
Using the slope-intercept equation, y = mx + b, we get
6 = (-3/2)(-3) + b, or b = 6 - 9/2 = b, or b = 3/2, and the desired equation is thus
y = (3/2)x + 3/2
