Solving Slope Questions: Conclusions About Average Slope

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The average slope between two points is typically a value that lies between the slopes of the individual line segments connecting those points. The discussion highlights that the interpretation of the average slope can vary depending on the mathematical context, such as basic geometry versus calculus. In calculus, the average slope may relate to the concept of limits and the derivative as it approaches a specific point. The question's ambiguity is noted, suggesting it could be better phrased for clarity. Understanding the context is crucial for accurately determining the average slope.
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Homework Statement



What can you conclude about average slope between two points and the slopes of the individual line segments on which the points lie?


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The Attempt at a Solution


I thought that the average slope slope numerical answer is in between the slopes of the two points but the question is worth two marks so there must be another fact to it.
 
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Poorly-worded question to be honest but depending on the maths/science that you are actually doing, they could be talking about the slope of a line between two points. In which case it could be found using:
y2-y1 / x2-x1

However, if you're using the Definite Integral and Calculus, they could be talking about finding the slope as h-->x where x is a point on a line...
 

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