Final answer:
The point-slope equation of the line with slope -12 that goes through the point (5,-3) is y + 3 = -12(x + 5).
Step-by-step explanation:
The point-slope equation of a line is given by the formula y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. In this case, the slope is -12 and the point is (5, -3). Plugging in the values, we get:
y - (-3) = -12(x - 5)
Simplifying, we have:
y + 3 = -12(x - 5)
Therefore, the correct answer is Option D: y + 3 = -12(x + 5).
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