Answer: I think you've done everything right. Just be careful in watering until the grass sprouts. Once the roots have established, the ground will not erode. Watering lightly several times a day will encourage seed germination and quick coverage of the bare slope. I would hand water rather then set a sprinkler up until the grass is established, just to avoid having excess water make little rivulets in the soil as it runs down the slope. Best wishes with your new lawn.
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