Native grasses have good root systems, grow quickly and are not invasive. They provide a natural look and require no maintenance.
Many types of wildflowers offer the necessary root systems and quick growth needed for erosion control. Echinacea, coreopsis and blanket flower grow in many parts of the country, and can be established from seed or plants.
Lawn grass can be used to stabilize slopes. Seed blankets---biodegradable mats that contain seed---make the installation fast and easy. The mat holds the seed in place until germination. It then degrades away, leaving only the turf.
One of the earliest-blooming spring perennials, forsythia grows quickly in most parts of the U.S. It blooms most prolifically in bright sun, but it will grow and spread in shade as well.
Ornamental spreading ground covers provide quick soil stabilization. Vinca, pachysandra, bugleweed, dwarf-spreading junipers and lariope are low-growing and dense. Avoid tall, shallow-rooted shrubs like ice plant.
Avoid non-native, potentially invasive species, particularly if your slope is on or near wetlands, lakes or other bodies of water. Your local county cooperative extension will be able to give you guidance and advice when planting near these sensitive areas.