The midpoint of $\overline{T U}$ is $M(4,3)$. One endpoint is $T(0,6)$. Find the coordinates of the other endpoint $U$.

Step 1 ：We are given that the midpoint of line segment TU is M(4,3) and one endpoint is T(0,6). We are asked to find the coordinates of the other endpoint U.

Step 2 ：We can use the midpoint formula to find the coordinates of U. The midpoint formula is \(M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)\), where M is the midpoint, and (x1, y1) and (x2, y2) are the coordinates of the endpoints.

Step 3 ：Substituting the given values into the midpoint formula, we get two equations: \(4 = \frac{0 + x_2}{2}\) and \(3 = \frac{6 + y_2}{2}\).

Step 4 ：Solving these equations, we find that the coordinates of U are (8, 0).

Step 5 ：Final Answer: The coordinates of the other endpoint U are \(\boxed{(8, 0)}\).