  A study is made of what SUSY signals would be observable for mSUGRA models in
a 500-GeV linear collider. All current experimental bounds on the mSUGRA
parameter space are imposed. For m_0 < 1 TeV (or alternately if the current
g_\mu - 2 anomaly maintains) the only observable signals that remain are
slepton pair production and neutralino production of
{\tilde\chi^0_2}+{\tilde\chi^0_1}. Slepton pair production can occur for masses
< 250 GeV which for the selectron and smuon pairs require tanbeta < 40. In this
domain very accurate selectron and smuon masses could be measured. Light staus,
\tilde\tau_1, with mass < 250 GeV can be pair produced for any tanbeta and the
neutralino signal can be seen provided m_{1/2}<~400 GeV. However, the detection
of these requires a much more complicated analysis due to the fact that the
dark matter co-annihilation constraint requires that the \tilde\tau_1 and
{\tilde\chi^0_1} mass difference be <~ 15 GeV. The point m_{1/2} = 360 GeV, A_0
= 0, \mu>0 is analyzed in detail, and it is shown that the stau and neutralino
signals can be detected provided an active mask down to 2^o is used. However,
large parts of the mSUGRA parameter space exists where a 500-GeV machine would
not be able to see any SUSY signal.
