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In what ratio does the point P(2, -5) d...

In what ratio does the point P(2, -5) divide the line segment joining A(-3, 5) and B(4, -9)?

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To find the ratio in which the point P(2, -5) divides the line segment joining points A(-3, 5) and B(4, -9), we can use the section formula. The section formula states that if a point P divides the line segment joining points A(x1, y1) and B(x2, y2) in the ratio m:n, then the coordinates of point P can be expressed as: \[ P\left(x, y\right) = \left(\frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n}\right) \] ### Step 1: Assign the coordinates Let: ...
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