To find the midpoint \( M \) of a line segment with endpoints \( V(x_1, y_1) \) and \( W(x_2, y_2) \), we use the midpoint formula:
\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
For the given points \( V(9, 61) \) and \( W(75, 85) \):
- \( x_1 = 9 \)
- \( y_1 = 61 \)
- \( x_2 = 75 \)
- \( y_2 = 85 \)
Now, we can calculate the coordinates of the midpoint \( M \):
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Calculate the x-coordinate of \( M \): \[ M_x = \frac{9 + 75}{2} = \frac{84}{2} = 42 \]
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Calculate the y-coordinate of \( M \): \[ M_y = \frac{61 + 85}{2} = \frac{146}{2} = 73 \]
Thus, the coordinates of the midpoint \( M \) are:
\[ M(42, 73) \]
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