1. **State the problem:** We have a point marked at coordinates $(-6,4)$ on a figure. We need to translate the figure 7 units down and find the new coordinates of the marked point. 2. **Recall the translation rule:** Translating a point down by $k$ units means subtracting $k$ from the $y$-coordinate. The $x$-coordinate remains unchanged. 3. **Apply the translation:** Original point: $(-6,4)$ Translation down by 7 units means: $$y_{new} = 4 - 7$$ $$y_{new} = \cancel{4} - 7 = -3$$ 4. **Final coordinates:** The $x$-coordinate stays the same: $-6$ The $y$-coordinate is now $-3$ So, the point after translation is $(-6,-3)$. **Answer:** - Original point: $(-6,4)$ - Final point after translation: $(-6,-3)$