The slope of the budget line represents an opportunity cost because,moving along the line,

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The slope of the budget line represents how much of one good must be given up in order to obtain more of the other good. This reflects the opportunity cost of choosing to consume more of one good over the other. Therefore, moving along the budget line means making a trade-off between the two goods, where the consumer gives up some of one good in order to get more of the other.

The Slope of the Budget Line Represents an Opportunity Cost