Final answer:
The Mackenzie River flows across the Northwest Territories to the Arctic Ocean and is the second-longest river system flowing into the Arctic.
Step-by-step explanation:
The river that flows across the Northwest Territories to the Arctic Ocean is the B) Mackenzie River. This river is the longest in Canada and the second-longest flowing into the Arctic Ocean, surpassed only by the mighty Mississippi-Missouri river system. The Mackenzie River played a historically significant role during the European exploration of Canada, particularly in the era when explorers were searching for a Northwest Passage to Asia. Although the Mackenzie River does reach the Arctic, it does not provide a direct route to the Pacific Ocean for trade purposes.