Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 10 - Section 10.2 - Graphs of Linear Equations and Slope - Exercises - Page 465: 14b

Answer

They are collinear.

Work Step by Step

We see if the slopes between the points are the same to see if they are collinear: $m = \frac{y_2-y_1}{x_2-x_1} = \frac{c-c+d}{b-a} =\frac{d}{b-a} $ And: $m = \frac{y_2-y_1}{x_2-x_1} = \frac{c-c+d}{2b-a-b} =\frac{d}{b-a} $ The slopes are the same, so they are collinear.
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