Using pigeonhole principle: Say you have 5 points with integer coordinates (i.e. (3,-1)). Show that there must betwo points with a midpoint that has integer coordinates as well.

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Answered: Say you have 5 points with integer…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.2: The Rectangular Coordinate System And Graphing Lines

Problem 112E

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Say you have 5 points with integer coordinates (i.e. (3,-1)). Show that there must be two points with a midpoint that has integer coordinates as well.