Mathematics

Problem

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

\Delta PQR

is a line (a) parallel to

x

-axis (b) parallel to

y

-axis (c) with slope

\frac{3}{2}

(d) with slope

\frac{2}{3}