  We compute graviton scattering amplitudes in M-theory using Feynman rules for
a scalar particle coupled to gravity in eleven dimensions. The processes that
we consider describe the single graviton exchange and the double graviton
exchange, that in M(atrix) theory correspond to the $v^4/r^7$- and
$v^6/r^{14}$-term respectively. We further show that the $ v^6/r^{14}$-term
appearing in M(atrix) theory at two-loops can be obtained from the covariant
eleven-dimensional four-graviton amplitude. Finally, we calculate the
$v^8/r^{18}$-term appearing at two-loops in M(atrix) theory. It has been
previously conjectured that this term is related to a four graviton scattering
amplitude involving the $R^4$-vertex of M-theory.
