  High quality spectra of 90 blue supergiant stars in the Large Magellanic
Cloud are analyzed with respect to effective temperature, gravity, metallicity,
reddening, extinction and extinction law. An average metallicity, based on Fe
and Mg abundances, relative to the Sun of [Z] = -0.35 +/- 0.09 dex is obtained.
The reddening distribution peaks at E(B-V) = 0.08 mag, but significantly larger
values are also encountered. A wide distribution of the ratio of extinction to
reddening is found ranging from Rv = 2 to 6. The results are used to
investigate the blue supergiant relationship between flux-weighted gravity, and
absolute bolometric magnitude. The existence of a tight relationship, the FGLR,
is confirmed. However, in contrast to previous work the observations reveal
that the FGLR is divided into two parts with a different slope. For
flux-weighted gravities larger than 1.30 dex the slope is similar as found in
previous work, but the relationship becomes significantly steeper for smaller
values of the flux-weighted gravity. A new calibration of the FGLR for
extragalactic distance determinations is provided.
