Question

why did the government pass the missouri compromise?
to make peace with native american nations in the missouri territory
to solve the border dispute between missouri and kansas
to keep the same number of representatives in the house
to maintain an equal number of slave and free states

Explanation:

The Missouri Compromise was a legislative agreement focused on balancing political power between Northern free states and Southern slave states in the U.S. Congress. Admitting Missouri as a slave state would have tipped the balance, so the compromise paired it with admitting Maine as a free state to keep the count equal. The other options are incorrect: it did not address Native American peace, the Kansas-Missouri border dispute came later with the Kansas-Nebraska Act, and it focused on Senate (not House) balance via state parity.

Answer:

to maintain an equal number of slave and free states