To find the midpoint \( Q \) of the line segment \( PM \), we need to know the coordinates of points \( P \) and \( M \). The formula for the midpoint \( Q \) of a segment with endpoints \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by:
\[ Q = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
However, since the coordinates of points \( P \) and \( M \) are not provided, we can't directly calculate the midpoint or confirm which of the multiple-choice options for \( Q \) is correct.
Given your options:
- (1, 6)
- (1, 0)
- (1, -6)
- (0.5, 0)
Without the coordinates of points \( P \) and \( M \), we can't determine which option is the midpoint. If you can provide the coordinates for \( P \) and \( M \), I can help you find the correct midpoint. If not, any of the options could potentially be correct depending on the actual positions of \( P \) and \( M \).