Question

what is the image of (7, 8) after a reflection over the line y = x?
answer attempt 1 out of 2
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Explanation:

Step1: Recall reflection over \( y = x \)

The rule for reflecting a point \((x, y)\) over the line \( y = x \) is to swap the \( x \)-coordinate and the \( y \)-coordinate. So, the image of \((x, y)\) is \((y, x)\).

Step2: Apply the rule to \((7, 8)\)

For the point \((7, 8)\), we swap the \( x \)-value (7) and the \( y \)-value (8). So the new point is \((8, 7)\).

Answer:

\((8, 7)\)