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A point $P$ moves on the line $2x - 3y + 4 = 0$. If $Q(1, 4)$ and $R(3, -2)$ are fixed points, then the locus of the centroid of $\triangle PQR$ is a line:
(1) with slope $\frac{3}{2}$
(2) parallel to $x$-axis
(3) with slope $\frac{2}{3}$
(4) parallel to $y$-axis
BETA
