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.
<span>Kings at the time usually didn't have heirs to the throne, because of this by killing the king you bring confusion to the country. No one knows what to do and everyone wants to be the new leader. So the king dying was a great chance for Alexander to take over Persia.</span>