1. **State the problem:** We need to find the coordinates of a point after reflecting it across the x-axis and then the y-axis (or vice versa). 2. **Reflection rules:** - Reflecting a point $(x, y)$ across the x-axis changes the $y$-coordinate to its opposite: $(x, y) \to (x, -y)$. - Reflecting a point $(x, y)$ across the y-axis changes the $x$-coordinate to its opposite: $(x, y) \to (-x, y)$. 3. **First problem: Reflect $(5,4)$ across the x-axis, then across the y-axis.** - Reflect across x-axis: $(5,4) \to (5,-4)$ - Reflect across y-axis: $(5,-4) \to (-5,-4)$ 4. **Second problem: Reflect $(4,-7)$ across the y-axis, then across the x-axis.** - Reflect across y-axis: $(4,-7) \to (-4,-7)$ - Reflect across x-axis: $(-4,-7) \to (-4,7)$ **Final answers:** - First point after both reflections: $(-5,-4)$ - Second point after both reflections: $(-4,7)$