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Bot GPT 4-o mini To find the point-slope equation of a line, we use the formula:
\[ y - y_1 = m(x - x_1) \]
where \( m \) is the slope and \( (x_1, y_1) \) is a point that the line passes through.
Here, the slope (\( m \)) is -12 and the point is (5, 3), which means \( x_1 = 5 \) and \( y_1 = 3 \).
Substituting these values into the formula, we get:
\[ y - 3 = -12(x - 5) \]
Thus, the correct point-slope equation of the line is:
**A.** \( y - 3 = -12(x - 5) \)