A point $Q(x_2,y_2)$ is on the line segment passing through $R(-2,5)$ and $S(4,1)$. Find the coordinates of $Q$ if it is twice as far from $R$ as from $S$.
2026-04-04 06:07:58.1775282878
A question on analytic geometry
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1
Hint:
Write $Q$ is a weighted mean of $R$ and $S$, with weights $\frac23$ and $\frac13$ respectively, and project this relation on the axes.