The image of a point after a reflection over the line y = –x is (7, –1). Find the coordinates of the preimage.

A reflection over the line y = –x maps (x, y) to (–y, –x). Since reflecting twice returns the original point, apply the same rule to the image (7, –1): (–(–1), –7) = (1, –7). The preimage is (1, –7), choice D.

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