Answer:
y = (-3/2)x + 7/2
Step-by-step explanation:
Find the slope of this line first.
As you move from the first point to the second, x (the 'run') increases by 6 and y (the 'rise') decreases by 4 (from 3 to -1). Thus the slope is
m = rise/run = -6/4 or -3/2.
Find b for this situation, using y = mx + b, m = -3/2, y = -1 and x = 3:
-1 = (-3/2)(3) + b. Multiply all three terms by 2:
2(-1) = -9 + 2b, or 7 = 2b. Then b = 7/2, and the desired equation is
y = (-3/2)x + 7/2
