1. **Problem statement:** Reflect the point $(4,6)$ across the y-axis and x-axis. 2. **Reflection across the y-axis:** - The rule for reflecting a point $(x,y)$ across the y-axis is to change the sign of the $x$-coordinate. - Formula: $(x,y) \to (-x,y)$ - Applying to $(4,6)$: $$(4,6) \to (-4,6)$$ 3. **Reflection across the x-axis:** - The rule for reflecting a point $(x,y)$ across the x-axis is to change the sign of the $y$-coordinate. - Formula: $(x,y) \to (x,-y)$ - Applying to $(4,6)$: $$(4,6) \to (4,-6)$$ **Final answers:** - Reflection across y-axis: $(-4,6)$ - Reflection across x-axis: $(4,-6)$