To find the midpoint \( R \) of segment \( AM \), we first need to locate point \( M \). However, only point \( A \) is given, and we also have coordinate \( B \) which may not be relevant unless defined.
Assuming \( M \) is given in terms of coordinates, the formula for finding the midpoint \( R \) of segment \( AM \) is:
\[ R = \left( \frac{x_A + x_M}{2}, \frac{y_A + y_M}{2} \right) \]
From the points provided:
- Coordinate \( A \) is \((-2, 4)\).
Without the coordinates of point \( M \), we cannot calculate the midpoint.
If you can provide the coordinates of point \( M \), I will help you calculate the midpoint \( R \). Otherwise, if you were asking for midpoint \( R \) between \( A \) and \( B \), then we can use the coordinates of both \( A \) and \( B \):
Coordinates of point \( B \): \( (-2, 1) \)
Midpoint \( R \) between points \( A(-2, 4) \) and \( B(-2, 1) \):
\[ R = \left( \frac{-2 + (-2)}{2}, \frac{4 + 1}{2} \right) \]
Calculating:
\[ R = \left( \frac{-4}{2}, \frac{5}{2} \right) = (-2, 2.5) \]
Thus, the midpoint \( R \) between points \( A \) and \( B \) is \((-2, 2.5)\).
If instead you're looking for the midpoint \( R \) of \( AM \) and know what \( M \) is, please provide the coordinates for point \( M\).
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