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The word that describes a brief story that is told to make a point is "anecdote." An anecdote is a short and interesting narrative that is used to illustrate or emphasize a particular point or moral. To find this answer, you can either have prior knowledge or use various resources such as dictionaries, thesauruses, or even search engines to find the definition of the word or phrases that describe a brief story told to make a point.
The word that describes a brief story that is told to make a point is "anecdote."