Answer:
Third choice: y + 7 = -2(x - 3)
Step-by-step explanation:
One of the two given points is (3, -7): (h, k), which would be the given point in the point-slope form of the equation of a straight line:
y - k = m(x - h)
If we replace h with 3 and k with -7, we get
y + 7 = m(x - 3).
Next, let's calculate the slope, m: as we go from (2, -5) to (3, -7), x increases by 1 and y decreases by 2. Hence, the slope is m = rise / run = -2/1, or -2.
Thus, the third answer choice is the correct one: y + 7 = -2(x - 3).
