Final answer:
Z'(5, -7) reflects to Z(-7, 5) across the line y = x
Step-by-step explanation:
The coordinate point Z'(5, -7) is the image of Z after a reflection in the line y = x. To find the coordinates of Z, we need to find the symmetric point of Z' with respect to the line y = x. In a reflection across the line y = x, the x-coordinate and the y-coordinate are swapped, so the coordinates of Z are (-7, 5).
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