Carbonate slopes are constructed and modified by depositional and erosional processes as a result of various controls, including tectonic setting, influencing slope morphologies

The origin of continental slope may have developed by through two different tectonic modes:

      1. Slope development from faults during the initial rifting continents to form ocean basins.

Tectonic setting of carbonate slopes determines the location and morphology of the slope.Carbonate slopes are found rimming edges of passive plate margins.Passive margins developed during continental rifting and the formation of a new ocean basin. A passive margin is the "trailing edge" of a continent-ocean plate that is tectonically inactive (e.g., the North American plate). Passive margins are also called "constructive" margins because they are built seaward by the deposition of sediment (Fouke, B.W., 2000).
 

Source:

http://ijolite.geology.uiuc.edu/00FallClass/geo117/Lect10.html