  We consider the renormalisation of a softly-broken supersymmetric theory with
singlet fields and a superpotential with a linear term. We show that there
exist exact beta-functions for both the linear term in the superpotential and
the associated linear term in the Lagrangian. We also construct exact
renormalisation group invariant trajectories for these terms, corresponding to
the conformal anomaly solution for the soft masses and couplings.
