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A point P divides a line segment OR in the ratio $2: 1$. If the coordinates of O are $(0, 0)$ and that of P are $(-2, -3)$, find the coordinates of R.
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Ans.
$2:1$
$$\begin{aligned}& O(0,0) \\ & P(-2, -3) \\ & R(x, y)\end{aligned}$$ (1 Mark)
Let coordinates of R be $(x, y)$
$-2 = \frac{2x+0}{2+1} \Rightarrow x=-3$ (1 Mark)
$-3 = \frac{2y+0}{2+1} \Rightarrow y=-\frac{9}{2}$ (1 Mark)
$2:1$
$$\begin{aligned}& O(0,0) \\ & P(-2, -3) \\ & R(x, y)\end{aligned}$$ (1 Mark)
Let coordinates of R be $(x, y)$
$-2 = \frac{2x+0}{2+1} \Rightarrow x=-3$ (1 Mark)
$-3 = \frac{2y+0}{2+1} \Rightarrow y=-\frac{9}{2}$ (1 Mark)