Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.2 Linear Functions and Their Graphs - Exercise Set 7.2 - Page 432: 72

Answer

Two points determine a line. However, using at least three points to graph a line is recommended. This is because the third point will serve as a means to verify the accuracy of the line.

Work Step by Step

Two points determine a line. Thus, to graph a line, a minimum of two points are needed. A line can be graphed by plotting two points that belong to the line and then connecting the two points using a straight line. However, when we are graphing by hand, we often put the points in the wrong places. Thus, a third point helps as it can help us improve the accuracy of the line.
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