Question

reflect (-7, 5) across the x - axis. then reflect the result across the x - axis again. what are the coordinates of the final point?

Explanation:

Step1: First x - axis reflection

When reflecting a point $(x,y)$ across the $x$-axis, the rule is $(x,y)\to(x, - y)$. For the point $(-7,5)$, the first reflection gives $(-7,- 5)$ since $x=-7$ and $y = 5$ so the new $y$-coordinate is $-5$.

Step2: Second x - axis reflection

Applying the same rule $(x,y)\to(x, - y)$ to the point $(-7,-5)$. Here $x=-7$ and $y=-5$, so the new $y$-coordinate is $-(-5)=5$. The final point is $(-7,5)$.

Answer:

(-7, 5)