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P$(-2, 5)$ and Q$(3, 2)$ are two points. Find the coordinates of the point R on line segment PQ such that $PR = 2QR$.
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Let coordinates of R be $(x, y)$.
$PR : RQ = 2 : 1$
$x = \frac{2(3)+1(-2)}{2+1} = \frac{4}{3}$
$y = \frac{2(2)+1(5)}{2+1} = 3$
$\therefore$ Coordinates of the point R $(\frac{4}{3}, 3)$
$PR : RQ = 2 : 1$
$x = \frac{2(3)+1(-2)}{2+1} = \frac{4}{3}$
$y = \frac{2(2)+1(5)}{2+1} = 3$
$\therefore$ Coordinates of the point R $(\frac{4}{3}, 3)$