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Find the ratio in which the point $P(-4, 6)$ divides the line segment joining the points $A(-6, 10)$ and $B(3, -8)$.
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Let the ratio be $k:1$
$-4 = \frac{3k-6}{k+1}$
$\Rightarrow k = \frac{2}{7}$
$\therefore \text{required ratio is } 2 : 7$
$-4 = \frac{3k-6}{k+1}$
$\Rightarrow k = \frac{2}{7}$
$\therefore \text{required ratio is } 2 : 7$