Answer 1.
b. to preserve the Union
c. to keep balance between free states and slave states.
Explanation:
The Compromise of 1850 was a collection of five bills originally proposed by Senator Henry Clay, and approved by the Congress that had as main goal to preserve the Union and to settle slavery issues between free and slave states after the request for admission of California as a free state with a Constitution that prohibited slavery and would unbalance the Union.
Answer 2.
b. Admission of New Mexico as a slave state and Utah as a free state.
Explanation:
After Texas agreed to give up New Mexico's territory, both New Mexico and Utah were recognized as territorial states, which meant that they could decide whether or not they wanted to be free or slave states. The Northern states (free states) got in return California admitted as a free state and slave trade prohibited in Washington D.C. While the Southern states (slave states) in addition to the new territorial states, also got the Passage of the Fugitive Slave Act and slaveholding permitted in Washington D.C.
