To find the midpoint \( R \) of the segment \( \overline{AM} \), we need the coordinates of points \( A \) and \( M \). The formula for the midpoint \( R \) of a segment with endpoints \( (x_1, y_1) \) and \( (x_2, y_2) \) is:
\[ R = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
Since the coordinates of points \( A \) and \( M \) are not provided in your question, I cannot calculate the specific coordinates of \( R \).
However, among the provided responses, if you are looking for the possible locations of the midpoint \( R \), here are the options given:
- \( R \) is located at \( (-2, 7) \)
- \( R \) is located at \( (0, 2.5) \)
- \( R \) is located at \( (-2, -2) \)
- \( R \) is located at \( (-2, 2.5) \)
Could you please provide the coordinates for points \( A \) and \( M \) or any additional information so that I can calculate the midpoint \( R \) accurately?