Question

reflect (5, - 3) across the y - axis. then reflect the result across the x - axis. what are the coordinates of the final point?

Explanation:

Step1: Reflect across y - axis

When reflecting a point $(x,y)$ across the $y$-axis, the rule is $(-x,y)$. Given the point $(5, - 3)$, after reflecting across the $y$-axis, we get $(-5,-3)$.

Step2: Reflect across x - axis

When reflecting a point $(x,y)$ across the $x$-axis, the rule is $(x,-y)$. Using the result $(-5,-3)$ from the previous step, after reflecting across the $x$-axis, we get $(-5,3)$.

Answer:

$(-5,3)$