Answer
The trace is $3x-2y=4$, which is the equation of a line.
Work Step by Step
The intersection of the plane $3x - 2y + 5z = 4$ with the $xy$-plane is the trace in the $xy$-plane.
The $xy$-plane has $z=0$. So, substituting $z=0$ in the equation of the plane $3x-2y+5z=4$ we get $3x-2y=4$. Thus, the trace is $3x-2y=4$, which is the equation of a line.
