Question

Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0).

A.y − 4 = −1/2(x + 6)
B.y − 4 = 2(x + 6)
C.y + 6 = −1/2(x − 4)
D.y + 6 = 2(x − 4)

Answer 1

The point-slope form of an equation is represented by the equation y - y1 = m (x- x1) where m is the slope. the slope is the change of y per change in x. hence, ( 0- 4) / (2 +6) or equal to -1/2. substituting, y - 4 = -1/2 ( X + 6). hence the answer to this problem is letter A.