  In this paper we describe the complement of real line arrangements in the
complex plane in terms of the boundary three-manifold of the line arrangement.
We show that the boundary manifold of any line arrangement is a graph manifold
with Seifert fibered vertex manifolds, and depends only on the incidence graph
of the arrangement. When the line arrangement is defined over the real numbers,
we show that the homotopy type of the complement is determined by the incidence
graph together with orderings on the edges emanating from each vertex.
