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The section formula is a mathematical tool used to determine the coordinates of a point that divides a line segment into a specific ratio. If a line segment connects two points (A(x_1, y_1)) and (B(x_2, y_2)), and a point (P) divides this segment in the ratio (m:n), the coordinates of point (P) can be calculated using the formula:

[ P\left( \frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n} \right). ]

This formula is essential in coordinate geometry for finding points that are not endpoints of a segment.

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