Final answer:
The Democratic-Republicans supported Jefferson's purchase of the Louisiana Territory, which was in line with their agrarian vision and strategic interests despite constitutional concerns.
Step-by-step explanation:
The Democratic-Republicans generally supported President Thomas Jefferson's decision to purchase the Louisiana Territory. The acquisition aligned with Jefferson's vision for an agrarian society, viewing land as essential for the expansion and prosperity of the United States. Despite constitutional concerns, the desire for farmable land and control over strategic territories such as New Orleans and the Mississippi River bolstered support among Jefferson's party.
Jefferson faced a dilemma as the Constitution did not explicitly grant him the power to acquire new territory. However, the strategic importance of New Orleans for trade and the westward expansion dream outweighed these constitutional doubts. Ultimately, the territory's acquisition, facilitated by negotiators Robert Livingston and James Monroe and the willingness of a financially-motivated Napoleon, was cheered by most citizens and considerably broadened the nation's size and potential.