For spreads, your money goes with who you think will win if you took their score and either added or subtracted the spread. Therefore, if Auburn is -6.5 and UT is +6.5, and the final score is 10-3, Auburn. Then the score, according the the spread, was actually either 3.5-3 (if your money was on Auburn) or 10-9.5 (if your money was on UT). In that example, the money on Auburn -6.5 wins.
Money lines require a little bit more math, yet, your money goes with the winner, straight-up. If you have Auburn -220, then for every $220 you wager, you win $100 (if Auburn wins). If UT is +250, then for every $100 you wager, you win $250 (if UT wins).
You also have over/under bets which just consists of the total number of points scored by both teams. Then you can parlay (bet on multiple games, but you must win each wager individually to win the parlay, or you lose) or tease.