A line intersects $y$-axis and $x$-axis at point $P$ and $Q$, respectively. If $R(2, 5)$ is the mid-point of line segment $PQ$, then find the coordinates of $P$ and $Q$.

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Step 1: Let the coordinates of $P$ and $Q$ be $(0, y)$ and $(x, 0)$ respectively. Since $R(2, 5)$ is the midpoint of $PQ$: $\frac{0 + x}{2} = 2$ and $\frac{y + 0}{2} = 5$.
Step 2: $x = 4$, $y = 10$. Therefore $P(0, 10)$ and $Q(4, 0)$.

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