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Answer:
The value of the limit as A approaches 1 of the slope of line AP gives the instantaneous slope at P.
Step-by-step explanation:
**sorry if these explanations don’t make sense. I’m just doing them so my answer doesn’t get flagged and removed for violating whatever policy or honor code there is. But I tried my best with these explanations**
The first answer choice “Δy/Δx of line AP gives the instantaneous slope at P” is incorrect as this just gives you the regular slope, which is different from instantaneous slope. Instantaneous slope needs to be close the point stated in the question
The answer choice “the value of the limit as P approaches A of the slope of line AP gives the instantaneous slope at P” is wrong because it reverses the letters so it’s as if the question were asking for the instantaneous slope at A. But since it’s asking about P you want A to get closer to P.
The answer choice “the value of y at P gives the instantaneous slope at P” is also wrong because you don’t use the y-value in the instantaneous slope formula.