1. Find the coordinates of the midpoint of the segment from \( A(-4,7) \) to \( S(5,3 \) \( \left(\frac{1}{2}, 5\right) \) \( (-4.5,2) \) \( \left(-\frac{1}{2}, 5\right) \) \( (1,10) \) Clear my selection

To find the **midpoint** between two points \( A(x_1, y_1) \) and \( S(x_2, y_2) \), you can use the **Midpoint Formula**: \[ \text{Midpoint} \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Given the points: - \( A(-4, 7) \) - \( S(5, 3) \) Let's plug these values into the formula: 1. **Calculate the x-coordinate of the midpoint:** \[ \frac{-4 + 5}{2} = \frac{1}{2} = 0.5 \] 2. **Calculate the y-coordinate of the midpoint:** \[ \frac{7 + 3}{2} = \frac{10}{2} = 5 \] So, the midpoint between \( A(-4, 7) \) and \( S(5, 3) \) is: \[ \left( \frac{1}{2}, 5 \right) \quad \text{or} \quad (0.5, 5) \] **Among the given options:** - \( \left(\frac{1}{2}, 5\right) \) ✅ - \( (-4.5, 2) \) - \( \left(-\frac{1}{2}, 5\right) \) - \( (1, 10) \) **The correct answer is** \( \left(\frac{1}{2}, 5\right) \).