To find the midpoint \( M \) of segment \( AB \), you can use the midpoint formula:
\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
where \( (x_1, y_1) \) are the coordinates of point \( A \) and \( (x_2, y_2) \) are the coordinates of point \( B \).
Given:
- Point \( A: (-1, 2) \) \(\Rightarrow x_1 = -1\), \( y_1 = 2 \)
- Point \( B: (4, -2) \) \(\Rightarrow x_2 = 4\), \( y_2 = -2 \)
Now, we can substitute these values into the formula:
\[ M = \left( \frac{-1 + 4}{2}, \frac{2 + (-2)}{2} \right) \]
Calculating the x-coordinate:
\[ \frac{-1 + 4}{2} = \frac{3}{2} = 1.5 \]
Calculating the y-coordinate:
\[ \frac{2 - 2}{2} = \frac{0}{2} = 0 \]
Thus, the midpoint \( M \) is:
\[ M = (1.5, 0) \]
Therefore, the correct answer is:
C. M is located at (1.5, 0).