The midpoint of \( \overline{B C} \) is \( M(5,4) \). One endpoint is \( B(9,3) \). Find the coordinates of the other endpoint \( C \). Write the coordinates as decimals or integers.

To find the coordinates of the other endpoint \( C(x, y) \), we can use the midpoint formula, which states that the midpoint \( M \) of a line segment with endpoints \( B(x_1, y_1) \) and \( C(x_2, y_2) \) is given by: \[ M\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \] Given that \( M(5, 4) \) is the midpoint and \( B(9, 3) \), we substitute into the formula: \[ 5 = \frac{9 + x}{2} \] \[ 4 = \frac{3 + y}{2} \] Now solving for \( x \) in the first equation: \[ 5 \cdot 2 = 9 + x \implies 10 = 9 + x \implies x = 10 - 9 = 1 \] Now solving for \( y \) in the second equation: \[ 4 \cdot 2 = 3 + y \implies 8 = 3 + y \implies y = 8 - 3 = 5 \] Thus, the coordinates of the other endpoint \( C \) are \( C(1, 5) \).