The evolution of galaxies is profoundly impacted by the environments in which they live. Satellite galaxies or larger hosts are particularly susceptible to this effect, and this dissertation examines the ways in which satellite galaxies and host galaxies interact and co-evolve. The picture we present coherently indicates how satellite galaxy mass impacts how satellite galaxies quench over five orders of magnitude in mass, with low-mass objects efficiently quenched, high mass objects inefficiently quenched. We also provide evidence for a sharp delineation between the two regimes, and indicate that the mass and star-formation rate of the host is correlated with dramatic changes to our model.