By means of scanning tunnelling microscopy and spectroscopy, we have investigated the electronic structure of Bi nanolines on clean and H-passivated Si(100) surfaces. Maps of the local density of states (LDOS) images of the Bi nanolines are presented for the first time. The spectra obtained for nanolines on a clean Si surface and the LDOS images agree with ab initio predicted spectra for the Haiku structure. For nanolines on a H-passivated surface, the spectra obtained suggest that the Bi nanoline may locally pin the surface Fermi level, and the LDOS images taken at low bias show a distribution of states different to what was expected at the Bi nanolines. The results are discussed with respect to use of the nanolines as atomic wire interconnections.