To find the midpoint \( R \) of the segment \( AM \), you can use the midpoint formula:
\[ R = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
where \( (x_1, y_1) \) are the coordinates of point \( A \) and \( (x_2, y_2) \) are the coordinates of point \( M \).
Given:
- Coordinate \( A = (-2, 4) \)
- Coordinate \( M = (-2, 1) \)
Now, substitute the coordinates into the midpoint formula:
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Calculate the x-coordinate of \( R \): \[ x_R = \frac{-2 + (-2)}{2} = \frac{-4}{2} = -2 \]
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Calculate the y-coordinate of \( R \): \[ y_R = \frac{4 + 1}{2} = \frac{5}{2} = 2.5 \]
Thus, the coordinates of midpoint \( R \) are:
\[ R = (-2, 2.5) \]