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Question
reflect (-9, 5) across the y - axis. then reflect the result across the x - axis. what are the coordinates of the final point?
Step1: Reflect across y - axis
When reflecting a point $(x,y)$ across the $y$-axis, the rule is $(-x,y)$. Given the point $(-9,5)$, after reflecting across the $y$-axis, we get $(-(-9),5)=(9,5)$.
Step2: Reflect across x - axis
When reflecting a point $(x,y)$ across the $x$-axis, the rule is $(x, - y)$. Using the result $(9,5)$ from the previous step, after reflecting across the $x$-axis, we get $(9,-5)$.
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$(9,-5)$