The territories that the united states gained from mexico were -supposed to be slave states due to the missouri compromise. -all north of the 36º 30' line drawn by the missouri compromise. -acquired after the missouri compromise, which did not include those territories. -supposed to be free states due to the missouri compromise.

 - acquired after the Missouri Compromise, which did not include those territories.

Explanation:

The Mexican Cession was the large region of land that Mexico ceded to the United States in the Treaty of Guadalupe Hidalgo in 1848.  It included territory that would later become the states of California, Nevada, Utah, and parts of what would become Arizona, New Mexico, Colorado and Wyoming.  The Mexican Cession reignited tension on the issue of slave-holding states vs. free states.

The Missouri Compromise (1820) had admitted Missouri into the Union as a slave state with Maine being added at the same time to keep the balance of slave and free states equal.  It also prohibited any future slave states north of the latitude line 36 1/2 degrees north of the equator in territories of the Louisiana Purchase, with the exception of Missouri (north of that line) being admitted as a slave state.  Since that compromise had applied to Louisiana Purchase territories (not specifically the new lands from Mexico), and since the specified latitude line ran right through the middle of the Mexican Cession territory, there was bound to be further debate over the issue of slave vs. free states.

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the us constitution is a living document, meaning that it can be changed over time as the country changes.