Question

Choose the point-slope form of the equation below that represents the line that passes through the point (6, -3) and has a slope of -6.

A. y + 3 = -6(x - 6)
B. y - 3 = -6(x + 6)
C. x – 2y = 12
D. 4(x + 3) = -6

Answer 1

The correct point-slope form equation is 'y + 3 = -6(x - 6)' or Option A, by substituting the given point (6, -3) and the slope -6 into the point-slope equation.

Step-by-step explanation:

The point-slope form of the equation that represents the line passing through the point (6, -3) with a slope of -6 is y + 3 = -6(x - 6). The point-slope formula is expressed as −(y - y1) = m(x - x1), where (x1, y1) is a point on the line, and m is the slope. By substituting the given point and slope into the formula, we arrive at the correct equation, which is Option A.