The homestead act of 1862 impacted american indians by

"Signed into law in May 1862, the Homestead Act opened up settlement in the western United States, allowing any American, including freed slaves, to put in a claim for up to 160 free acres of federal land."
 www.history.com/topics/homestead-act It may have affected Indians/Native Americans by pushing them off of their native lands.

The way this small state - large state compromise guards against tyranny is that small states and large states have one note: i am sorry but i was not able to give you the full answer. but i got this answer from