1. The problem asks for the translation rule that maps the line segment VW to V'W'. 2. The original segment VW is vertical at $x = -9$ from $y = 10$ to $y = 3$. 3. The translated segment V'W' is vertical at $x = -9$ from $y = -4$ to $y = -9$. 4. Since both segments have the same $x$-coordinate, the translation affects only the $y$-coordinate. 5. To find the translation in $y$, calculate the difference between the $y$-coordinates of corresponding points. 6. For point V: original $y = 10$, translated $y = -4$, so translation in $y$ is $-4 - 10 = -14$. 7. For point W: original $y = 3$, translated $y = -9$, so translation in $y$ is $-9 - 3 = -12$. 8. The translation in $y$ should be consistent, but here it differs by 2 units, indicating a possible error in the problem or points. 9. Assuming the problem intends a uniform translation, we take the average translation in $y$ as $\frac{-14 + (-12)}{2} = -13$. 10. The translation rule is therefore: $$(x, y) \to (x + 0, y - 13)$$ This means the segment is shifted down by 13 units with no horizontal shift. Final answer: $(x, y) \to (x, y - 13)$