Observations show that the slope of the inner part of the Halpha/[N II] rotation curve of disk galaxies is depressed by extinction: at fixed luminosity, the observed slope is in fact seen to depend on the disk inclination to the line of sight. Using a simple extinction model, we are able to reproduce well the observed trends. The model assumes an exponential distribution, both in the radial and z directions, identical for star-forming regions and dust. Fits to the data are optimized by varying the scale height and scale length of absorbers, as well as the disk's central optical depth tau(0\), as seen face-on. The observations indicate that disk central opacity increases with total luminosity. Model fits for the most luminous galaxies (brighter than M - 5 log h = - 21.4 in the I band) yield tau(0) similar or equal to 3.5(-2.0)(+4.0) near lambda = 0.66 mum. The large uncertainty on the inferred value of tau(0) is due to the poorly known characteristics of the distribution of absorbers in the disk, as well as to the likelihood of strong departures from an exponential radial distribution near the galaxy centers.