What does it mean when a team is giving or getting "points"?

What does it mean when a team is giving or getting "points"?

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In order to make the games close for the gambler, sports books will make the teams even by giving or getting "points". For example, if the Giants are favored by seven and a half points, then they have to win by at least seven and a half points; but since half points don't exist, they have to win by eight.