To find the midpoint \( Q \) of the segment \( AM \), 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 \( M \).
From your input:
- Point \( A \) is at \( (5, 2) \)
- Point \( M \) is at \( (-2, -3) \)
Now, applying the midpoint formula:
\[ Q = \left( \frac{5 + (-2)}{2}, \frac{2 + (-3)}{2} \right) \]
Calculating the x-coordinate:
\[ Q_x = \frac{5 - 2}{2} = \frac{3}{2} = 1.5 \]
Calculating the y-coordinate:
\[ Q_y = \frac{2 - 3}{2} = \frac{-1}{2} = -0.5 \]
Thus, the midpoint \( Q \) is located at:
\[ Q = (1.5, -0.5) \]
So the correct answer is: Q is located at (1.5, -0.5).