Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are(4, –5), what are the coordinates of B'?

Apply the translation by adding 2 to the x-coordinate and subtracting 8 from the y-coordinate. Starting with B(4, −5), we get B′ = (4 + 2, −5 − 8) = (6, −13). So the correct choice is (6, −13).

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