Find the coordinates of the point C which lies on the line AB produced such that $AC = 2BC$, where coordinates of points A and B are $(-1, 7)$ and $(4, -3)$ respectively.

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Step 1: $AC = 2BC \Rightarrow$ B is the mid-point of AC.
Step 2: $\frac{-1 + x}{2} = 4 \Rightarrow x = 9$
Step 3: $\frac{7 + y}{2} = -3 \Rightarrow y = -13$
Step 4: $	herefore$ Coordinates of C are $(9, -13)$.

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