Answer:
y = (2/3)x - 2
Step-by-step explanation:
This problem is interesting in that both the x- and the y-intercepts are given. The y-intercept is (0, -2), and so 'b' in 'y = mx + b' must be -2:
y = mx - 2. The x-intercept is (3, 0), so we know that y = 0 when x = 3:
0 = m(3) - 2
This latter result must be solved for m: 3m = 2, or m = 2/3.
Then the desired equation is y = (2/3)x - 2.
