A line segment has endpoints at (–4, –6) and (–6, 4). Which reflection will produce an image with endpoints at (4, –6) and (6, 4)?

A reflection across the y-axis changes each point (x, y) to (−x, y): it reverses the x-coordinate and keeps the y-coordinate unchanged. Thus (−4, −6) becomes (4, −6), and (−6, 4) becomes (6, 4). The correct choice is a reflection across the y-axis.

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