The midpoint of the coordinates \( (7,9) \) and \( (12,11) \) is \( (9.5,10) \) B. \( (13,12) \) C. \( (19,20) \) D. none of the above SUBMIT

To determine if the midpoint of the coordinates \( (7,9) \) and \( (12,11) \) is indeed \( (9.5,10) \), we can use the midpoint formula. The midpoint \( M \) of two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by: \[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Here, we have: - \( (x_1, y_1) = (7, 9) \) - \( (x_2, y_2) = (12, 11) \) Now, we can calculate the midpoint step by step. 1. Calculate the x-coordinate of the midpoint: \[ x_M = \frac{7 + 12}{2} \] 2. Calculate the y-coordinate of the midpoint: \[ y_M = \frac{9 + 11}{2} \] Now, let's perform these calculations. ### Step 1: Calculate \( x_M \) \[ x_M = \frac{7 + 12}{2} = \frac{19}{2} = 9.5 \] ### Step 2: Calculate \( y_M \) \[ y_M = \frac{9 + 11}{2} = \frac{20}{2} = 10 \] Thus, the midpoint \( M \) is: \[ M = (9.5, 10) \] Now, we can check the options provided: A. \( (9.5, 10) \) - This is correct. B. \( (13, 12) \) - This is incorrect. C. \( (19, 20) \) - This is incorrect. D. none of the above - This is incorrect since option A is correct. Therefore, the correct answer is: **A. \( (9.5, 10) \)**