To find the midpoint \( Q \) of segment \( AM \) with points \( A(5, 2) \) and \( M(-2, -3) \), you can use the midpoint formula:
\[ Q = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
where \( (x_1, y_1) \) are the coordinates of point \( A \) and \( (x_2, y_2) \) are the coordinates of point \( M \).
Substituting the values:
- \( x_1 = 5 \)
- \( y_1 = 2 \)
- \( x_2 = -2 \)
- \( y_2 = -3 \)
Now plug in these values into the formula:
\[ Q_x = \frac{5 + (-2)}{2} = \frac{5 - 2}{2} = \frac{3}{2} = 1.5 \]
\[ Q_y = \frac{2 + (-3)}{2} = \frac{2 - 3}{2} = \frac{-1}{2} = -0.5 \]
Thus, the coordinates of midpoint \( Q \) are:
\[ Q = (1.5, -0.5) \]
Therefore, the midpoint \( Q \) is at \( (1.5, -0.5) \).
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