What is a point-slope equation of the line with slope -12 that goes through the point (5,3) A. y-3=12(x-5) B y-3=-12(x-5) C. y+3=-12(x+5) D. y+3=12(x+5)

The point-slope form of the equation of a line is given by:<br /><br />\[ y - y_1 = m(x - x_1) \]<br /><br />where \( m \) is the slope of the line and \((x_1, y_1)\) is a point on the line.<br /><br />Given:<br />- Slope \( m = -12 \)<br />- Point \((x_1, y_1) = (5, 3)\)<br /><br />Substitute these values into the point-slope form equation:<br /><br />\[ y - 3 = -12(x - 5) \]<br /><br />So, the correct answer is:<br /><br />B. \( y - 3 = -12(x - 5) \)