To find the midpoint \( M \) of a line segment with endpoints \( P(0, 6) \) and \( Q(15, 3) \), you can use the midpoint formula:
\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
Where \( (x_1, y_1) \) are the coordinates of point \( P \) and \( (x_2, y_2) \) are the coordinates of point \( Q \).
For the given points:
- \( P(0, 6) \) means \( x_1 = 0 \) and \( y_1 = 6 \)
- \( Q(15, 3) \) means \( x_2 = 15 \) and \( y_2 = 3 \)
Now, substitute the values into the formula:
\[ M = \left( \frac{0 + 15}{2}, \frac{6 + 3}{2} \right) \]
Calculating each component:
\[ M_x = \frac{0 + 15}{2} = \frac{15}{2} = 7.5 \] \[ M_y = \frac{6 + 3}{2} = \frac{9}{2} = 4.5 \]
Thus, the coordinates of the midpoint \( M \) are:
\[ M(7.5, 4.5) \]
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