1. **State the problem:** We have a point $P(6, -7)$ and its image after reflection $P'(6, 7)$. We need to determine over which axis the point was reflected. 2. **Recall reflection rules:** - Reflection over the $x$-axis changes the $y$-coordinate sign: $(x, y) \to (x, -y)$. - Reflection over the $y$-axis changes the $x$-coordinate sign: $(x, y) \to (-x, y)$. 3. **Compare coordinates:** - Original point: $P(6, -7)$ - Reflected point: $P'(6, 7)$ 4. **Check reflection over $x$-axis:** - Applying reflection over $x$-axis to $P$ gives $(6, -(-7)) = (6, 7)$, which matches $P'$. 5. **Check reflection over $y$-axis:** - Applying reflection over $y$-axis to $P$ gives $(-6, -7)$, which does not match $P'$. 6. **Conclusion:** The point $P$ was reflected over the $x$-axis. **Final answer:** Reflection over the $x$-axis.