Let $A(2, -3)$ and $B(-2, 1)$ be vertices of a triangle ABC. If the centroid of this triangle moves on the line $2x+3y=1$, then the locus of the vertex C is the line

Question

( A ) $2x-3y = 7$
( B ) $2x+3y=9$
( C ) $3x+2y=5$
( D ) $3x-2y=3$