To calculate the midpoint \( M \) of the segment \( \overline{AB} \) given the points \( A(-1, 2) \) and \( B(4, -2) \), we use the midpoint formula:
\[ M = \left( \frac{x_A + x_B}{2}, \frac{y_A + y_B}{2} \right) \]
Where \( (x_A, y_A) \) and \( (x_B, y_B) \) are the coordinates of points \( A \) and \( B \).
For the coordinates of points \( A \) and \( B \):
- \( A(-1, 2) \) means \( x_A = -1 \) and \( y_A = 2 \)
- \( B(4, -2) \) means \( x_B = 4 \) and \( y_B = -2 \)
Now substituting these values into the midpoint formula:
\[ M = \left( \frac{-1 + 4}{2}, \frac{2 + (-2)}{2} \right) \] \[ = \left( \frac{3}{2}, \frac{0}{2} \right) \] \[ = \left( 1.5, 0 \right) \]
So, the coordinates of the midpoint \( M \) are \( (1.5, 0) \).
Therefore, the correct statement is:
M is located at (1.5, 0).
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