The ratio in which the point (m, −6) divides the line segment joining the points (−1, −3), and (9, −8) is ______.

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The ratio in which the point (m, −6) divides the line segment joining the points (−1, −3), and (9, −8) is 3 : 2. Explanation: Let the ratio be k : 1 (AP : PB) Using the section formula for y: −6 = (k(−8) + (−3)) / (k + 1) −6(k + 1) = −8k − 3 −6k − 6 = −8k − 3 2k = 3 $\therefore$ k = $\frac{3}{2}$ Therefore, the ratio is 3 : 2.

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