Subjects geometry

Midpoint Coordinates 3D470A

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1. **State the problem:** Find the midpoint coordinates of points P(4, 3) and Q(10, 9). 2. **Formula:** The midpoint $M$ of two points $P(x_1, y_1)$ and $Q(x_2, y_2)$ is given by: $$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$$ 3. **Apply the formula:** $$x_M = \frac{4 + 10}{2} = \frac{14}{2} = 7$$ $$y_M = \frac{3 + 9}{2} = \frac{12}{2} = 6$$ 4. **Conclusion:** The midpoint coordinates are $M(7, 6)$. This means the point exactly halfway between P and Q is at (7, 6).