Which of the following is the point slope form of the linear equation with the following solutions?

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).

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step-by-step explanation: