\( \overline{R S} \) has a midpoint at \( M(8.5,10.5) \). Point \( S \) is at \( (1,10) \). Find the coordinates of point \( R \). Write the coordinates as decimals or integers. \( R=(\square) \)

To find the coordinates of point \( R \), we can use the midpoint formula, which states that the coordinates of the midpoint \( M \) are the averages of the coordinates of points \( R \) and \( S \). Given: - Midpoint \( M(8.5, 10.5) \) - Point \( S(1, 10) \) Let the coordinates of point \( R \) be \( (x, y) \). According to the midpoint formula, \[ M_x = \frac{x_S + x_R}{2} \text{ and } M_y = \frac{y_S + y_R}{2} \] Plugging in the values we have: \[ 8.5 = \frac{1 + x}{2} \quad \text{and} \quad 10.5 = \frac{10 + y}{2} \] Now, solving for \( x \): 1. Multiply both sides of the first equation by 2: \[ 17 = 1 + x \] 2. Subtract 1 from both sides: \[ x = 16 \] Now, solving for \( y \): 1. Multiply both sides of the second equation by 2: \[ 21 = 10 + y \] 2. Subtract 10 from both sides: \[ y = 11 \] Thus, the coordinates of point \( R \) are: \[ R = (16, 11) \]