The coordinates of point D is (- 3, - 7).
A midpoint is a point that partitions a line segment in two parts of equal length. First, we must find the coordinates of point B by using the midpoint formula:
B(x, y) = 0.5 · A(x, y) + 0.5 · C(x, y)
B(x, y) = 0.5 · (- 9, - 4) + 0.5 · (- 1, 6)
B(x, y) = (- 4.5, - 2) + (- 0.5, 3)
B(x, y) = (- 5, 1)
And the location of point D is found by using the midpoint formula again:
E(x, y) = 0.5 · B(x, y) + 0.5 · D(x, y)
(- 4, - 3) = 0.5 · (- 5, 1) + 0.5 · D(x, y)
(- 4, - 3) = (- 2.5, 0.5) + 0.5 · D(x, y)
(- 8, - 6) = (- 5, 1) + D(x, y)
D(x, y) = (- 8, - 6) - (- 5, 1)
D(x, y) = (- 3, - 7)
The coordinates of point D is (- 3, - 7).
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