Grasses are excellent plants to use on a slope to stop the erosion because of their extensive fibrous root systems which hold the soil in place. The challenge is to find grasses and other plants that will grow well in your space. You can intersperse shrubs with the grass to make an attractive ground cover. Unfortunately, I don't know what the sunlight and moisture conditions of your slope are. I will, therefore, offer some plants that have very broad light and moisture requirements. If some special conditions exist, you can search for your own plants by going to our Native Plant Database and doing a COMBINATION SEARCH choosing 'Virginia' and the appropriate selections from the other categories.
Grasses and sedges:
Andropogon virginicus (broomsedge bluestem)
Carex blanda (eastern woodland sedge)
Carex pensylvanica (Pennsylvania sedge)
Chasmanthium latifolium (Inland sea oats)
Schizachyrium scoparium (little bluestem)
Low-growing shrubs:
Comptonia peregrina (sweet fern)
Ceanothus americanus (New Jersey tea)
Hypericum prolificum (shrubby St. Johnswort)
Artemisia ludoviciana (white sagebrush)