Question

1. what are the coordinates of the image?

$r_{x - axis}(-5, 3)$
enter your answer.

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the $x -$axis, the $x$-coordinate remains the same and the $y$-coordinate changes its sign.

Step2: Apply the rule

Given the point $(-5,3)$, after reflection over the $x$-axis, the $x$-coordinate is $- 5$ and the new $y$-coordinate is $-3$.

Answer:

$(-5,-3)$