The answer is either a,b,c or d
Recall that the slope (m) of a line that passes through the points (x1, y1) and (x2, y2) is given by the following formula:
m = (y2 - y1)/(x2 - x1)
You are given that line D passes through the following two points:
(x1, y1) = (-2, 5) and (x2, y2) = (-1, -9)
Plugging in these values into the formula for the slope of a line we can solve for the slope of line D:
m = (-9 - 5)/(-1 - (-2)) = (-9 - 5)/(-1 + 2) = (-14)/(1) = -14
Thus, the slope of line D is -14.
Since parallel lines have the same slope, then the slope of a line parallel to line D has the same slope as line D. That is, any line parallel to line D will have a slope of -14.