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Considering AB has endpoints A(1, 7) and B(5, 4) and DE has endpoints D(-6, -2) and E(-2,-5). DE is the result of a translation of AB with the rule(x, y) → (x - 7, y - 9)How to show that DE is the result of a translation of ABTranslation is a type of transformation that involves a linear movement Analyzing the given endpoints A(1, 7) and B(5, 4). the translation rule that resulted to the endpoints D(-6, -2) and E(-2,-5) is (x, y) → (x - 7, y - 9)performing the translationA (1, 7) → (1 - 7, 7 - 9) = D (-6, -2) B (5, 4) → (5 - 7, 4 - 9) = E (-2,-5)Learn more about translation here:https://brainly.com/question/29321966#SPJ1