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question what is the image of (4, -7) after a reflection over the line y = x? answer attempt 1 out of 2
Step1: Recall reflection rule
For a reflection over the line $y = x$, the transformation rule for a point $(x,y)$ is $(x,y)\to(y,x)$.
Step2: Apply the rule
Given the point $(4,-7)$, when we apply the reflection - over - $y = x$ rule, we swap the $x$ and $y$ coordinates. So, $(4,-7)\to(-7,4)$.
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$(-7,4)$