why do lawmakers agree on popular sovereignty as a solution to deciding the role of slavery in the new territories

They agreed on popular sovereignty as a solution to deciding the role of slavery in the new territories because there were three groups with different views and each wanted different things. A group wanted to abolish slavery from the new territory, another wanted the continuation of slavery and the last were indifferent about the presence or absence of slavery.

This made the states to determine on its own on what it wanted for its region and people.