The answer is either a,b,c or d

Recall that the slope (m) of a line that passes through the points (x_{1}, y_{1}) and (x_{2}, y_{2}) is given by the following formula:

m = (y_{2} - y_{1})/(x_{2} - x_{1})

You are given that line D passes through the following two points:

(x_{1}, y_{1}) = (-2, 5) and (x_{2}, y_{2}) = (-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.

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