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Let $C$ be the centroid of the triangle with vertices $(3, -1)$, $(1, 3)$ and $(2, 4)$. Let $P$ be the point of intersection of the lines $x + 3y - 1 = 0$ and $3x - y + 1 = 0$. Then the line passing through the points $C$ and $P$ also passes through the point:
(1) $(-9, -6)$
(2) $(9, 7)$
(3) $(7, 6)$
(4) $(-9, -7)$
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