Summary
The term "spawn" in the Halo world is used to describe the act of starting a new life after having died. There are designated spots on a map where players may spawn. Often if the game is a slayer variant the game will choose a spawn point that is close to your teammates and far from the other team. In the case, if it is a free-for-all you will spawn at whichever point is farthest from any of the other players.