If \( A \) and \( B \) are the points of intersection of circle \( x^{2}+y^{2}-8x=0 \) and the hyperbola \( \frac{x^{2}}{9}-\frac{y^{2}}{4}=1 \) and a point \( P \) moves on the line \( 2x-3y+4=0 \), then the centroid of \( \triangle PAB \) lies on the line:
