A line segment has endpoints at open paren negative 4 comma negative 6 close paren and open paren negative 6 comma 4 close paren Which reflection will produce an image with endpoints at open paren 4 comma negative 6 close paren and open paren 6 comma 4 close paren ?

A reflection across the y-axis changes each point x-coordinate to its opposite while keeping the y-coordinate the same: (x, y) → (−x, y). Thus (−4, −6) becomes (4, −6), and (−6, 4) becomes (6, 4), matching the image endpoints. The correct choice is a reflection across the y-axis.

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