he coordinates of point T are \( (6,-15) \). The midpoint of \( \overline{\mathrm{ST}} \) is \( (6,-10) \). Find the coordinates of point S . The other endpoint is \( \square \). (Type an ordered pair.)

To find the coordinates of point S, we can use the midpoint formula. The midpoint \( M \) between two points \( S(x_1, y_1) \) and \( T(x_2, y_2) \) is given by: \[ M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \] Here, the coordinates of point T are \( (6, -15) \) and the midpoint \( M \) is \( (6, -10) \). We can set up the equations based on the midpoint formula: For the x-coordinates: \[ 6 = \frac{x_1 + 6}{2} \] Multiplying both sides by 2 gives: \[ 12 = x_1 + 6 \] Thus, \[ x_1 = 12 - 6 = 6 \] For the y-coordinates: \[ -10 = \frac{y_1 - 15}{2} \] Multiplying both sides by 2 gives: \[ -20 = y_1 - 15 \] Thus, \[ y_1 = -20 + 15 = -5 \] Therefore, the coordinates of point S are \( (6, -5) \). The other endpoint is \( (6, -5) \).