1. **Problem Statement:** Find the coordinates of point $U$ which partitions the segment $WB$ proportionally. Given points: - $W(-4, -8)$ - $B(8, 3)$ Point $U$ lies on segment $WB$ such that the ratio of partition is given (implied by the problem, but not explicitly stated; assume ratio $\lambda$). 2. **Formula for partitioning a segment:** If $U$ divides segment $WB$ in the ratio $m:n$, then coordinates of $U$ are: $$U = \left( \frac{m x_B + n x_W}{m+n}, \frac{m y_B + n y_W}{m+n} \right)$$ 3. **Identify the ratio:** From the problem, the length or ratio is not explicitly given, but the number 2.75 appears, likely the ratio $\frac{m}{n} = 2.75$. Assuming $U$ divides $WB$ so that $WU:UB = 2.75:1$, then $m=2.75$, $n=1$. 4. **Calculate $x$ coordinate of $U$:** $$x_U = \frac{2.75 \times 8 + 1 \times (-4)}{2.75 + 1} = \frac{22 - 4}{3.75} = \frac{18}{3.75}$$ Simplify: $$\frac{18}{3.75} = \frac{18 \times 4}{3.75 \times 4} = \frac{72}{15}$$ Simplify fraction: $$\frac{\cancel{72}^{\times 1}}{\cancel{15}^{\times 1}} = 4.8$$ 5. **Calculate $y$ coordinate of $U$:** $$y_U = \frac{2.75 \times 3 + 1 \times (-8)}{2.75 + 1} = \frac{8.25 - 8}{3.75} = \frac{0.25}{3.75}$$ Simplify: $$\frac{0.25}{3.75} = \frac{\cancel{0.25}^{\times 4}}{\cancel{3.75}^{\times 4}} = \frac{1}{15} \approx 0.0667$$ 6. **Final coordinates of $U$:** $$U = (4.8, 0.0667)$$ **Answer:** The point $U$ that partitions segment $WB$ in the ratio $2.75:1$ has coordinates approximately $(4.8, 0.067)$.