If the area is too shady, no turfgrass will grow well there. There are some groundcovers that tolerate occasional foot traffic and that grow well in shade. Some to consider are brass buttons (Leptinella squalida), Kenilworth ivy (Cymbalaria), and moss. However, if the slope is quite steep, it may be best to terrace the slope with retaining walls and plant the terraces with shade tolerant perennials.