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Find the ratio in which the point $(-5, p)$ divides the line segment joining $(-7, -2)$ and $(-4, 5)$. Hence, find the value of $p$.
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$-5 = \frac{-4k-7}{k+1} \implies k = 2$
$\therefore$ Ratio is $2 : 1$
$p = \frac{2(5) + 1(-2)}{3} = \frac{8}{3}$
$\therefore$ Ratio is $2 : 1$
$p = \frac{2(5) + 1(-2)}{3} = \frac{8}{3}$