Final answer:
The Treaty of Paris in 1763 is the event marking the end of the French and Indian War, with Britain gaining vast North American territories and becoming the dominant European power in the east.
Step-by-step explanation:
The event identified as the peaceful agreement and end to the French and Indian War is known as the Treaty of Paris of 1763. This decisive treaty concluded the Seven Years' War, with Britain claiming a sweeping victory. Under the treaty, France surrendered its North American territories to Britain, shifting the balance of power and vastly expanding British control to encompass Canada, Spanish Florida, and all lands east of the Mississippi River, save for New Orleans and Louisiana.
The treaty's significance lay not just in ending the French and Indian War but also in redrawing the map of North America. The British now stood as the unrivaled European authority in eastern North America, a role that would have profound implications for the course of history on the continent. Despite the peaceful resolution among European powers, indigenous nations were discontent with the treaty as they were excluded from the negotiations and their lands were ceded without their consent, leading to tensions that would persist in the region.