To find the midpoint \( M \) of a segment defined by the endpoints \( A(-1, 2) \) and \( B(4, -2) \), you can use the midpoint formula:
\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
Plugging in the coordinates of points \( A \) and \( B \):
- \( A(x_1, y_1) = (-1, 2) \)
- \( B(x_2, y_2) = (4, -2) \)
Now calculate:
\[ M_x = \frac{-1 + 4}{2} = \frac{3}{2} = 1.5 \]
\[ M_y = \frac{2 + (-2)}{2} = \frac{0}{2} = 0 \]
Thus, the midpoint \( M \) is located at:
\[ M = (1.5, 0) \]
So the correct response is:
M is located at (1.5, 0).