Title: The GIT moduli of semistable pairs consisting of a cubic curve and a line on ${\mathbb P}^{2}$,
Abstract: We discuss the GIT moduli of semistable pairs consisting of a cubic curve and
a line on the projective plane. We study in some detail this moduli and compare
it with another moduli suggested by Alexeev. It is the moduli of pairs (with no
specified semi-abelian action) consisting of a cubic curve with at worst nodal
singularities and a line which does not pass through singular points of the
cubic curve. Meanwhile, we make a comparison between Nakamura's
compactification of the moduli of level three elliptic curves and these two
moduli spaces.