The large spiral nearby SABbc galaxy NGC 4258 has been imaged in the o
ptical continuum using two filters at 5320 Angstrom and 7020 Angstrom
with 200 Angstrom bandpasses which are free of emission lines. The col
or image produced by dividing the two bandpasses reveals an elongated
feature at the location of the jet seen in the radio continuum and in
Ha. The jet seen in the optical continuum appears as a ''blue'' featur
e compared to the galaxy bulge. We consider four possible origins for
the optical continuum signature of the jet: (1) optical synchrotron ra
diation, (2) light from the invisible active nucleus scattered by inte
rstellar electrons or dust particles in the channel bored in the inter
stellar medium by the high-energy particles of the jet, (3) continuum
emission from shocks in colliding high-velocity clumps of gas, and (4)
a passive mechanism: reduced extinction through the galaxy because of
the absence of dust in the jet. It is shown that a combination of the
last two effects may be the most likely explanation for the optical c
ontinuum observed in the jet of NGC 4258.