Question:

The slope of the budget line is:

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The slope of the budget line represents the rate at which a consumer must give up one good to gain more of the other, given their budget constraint.
  • \(-P_2/P_1\)
  • \(P_1/P_2\)
  • \(P_2/P_1\)
  • \(P_1/P_2\)
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The Correct Option is A

Solution and Explanation

Step 1: Understanding the budget line.
The budget line shows the combinations of two goods that a consumer can afford given their income and the prices of the goods. The slope of the budget line is given by the ratio of the prices of the goods, which is \(-P_2/P_1\), where \(P_1\) is the price of the first good and \(P_2\) is the price of the second good.

Step 2: Conclusion.
Thus, the correct answer is option (1) \(-P_2/P_1\).

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