We still do not know what types of stellar systems end up exploding as most types of supernovae (SNe). In my talk, I will show how we can use observed correlations between the SN explosion rates and various host-galaxy properties to constrain the progenitor scenarios of different types of SNe. Most of the results I will present were achieved via a spectroscopic SN survey conducted among galaxy spectra from the Sloan Digital Sky Survey. I will also show how this survey paves the way to transform any massive spectroscopic galaxy survey into a transient survey at no extra cost. This has particular applications to upcoming projects such as WFIRST and the Dark Energy Spectroscopic Instrument (DESI) survey.