Answer:
y = (-1/2)x - 3 (Answer D)
Step-by-step explanation:
As we move from the point (-2, -2) to the point (2, -4), we see that x increases by 4. This is the "run.' At the same time, y decreases by 2. This is the "rise." Therefore, the slope is m = rise / run = -2/4, or -1/2.
All of the possible answers are in slope-intercept form, so at this point we start with the appropriate equation y = mx + b.
Using the point (2, -4), we get: -4 = (-1/2)(2) + b, or
-4 = -1 + b. Then b = -3, and the desired equation is y = (-1/2)x - 3 (Answer D)
