Subjects geometry

Point Translation 46B692

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1. **State the problem:** We have a point at coordinates $(4, 3)$ on a parallelogram, and we need to translate this point 7 units down on the coordinate plane. 2. **Recall the translation rule:** Translating a point down means subtracting from its $y$-coordinate. The $x$-coordinate remains the same. 3. **Apply the translation:** $$ (x, y) \to (x, y - 7) $$ For the point $(4, 3)$: $$ (4, 3) \to (4, 3 - 7) $$ 4. **Simplify the new coordinates:** $$ (4, \cancel{3} - 7) = (4, -4) $$ 5. **Final answer:** The point after translating 7 units down is at $(4, -4)$. This means the point moves straight down 7 units on the graph, keeping the same $x$-value but decreasing the $y$-value by 7.