Elementary Geometry for College Students (5th Edition)

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

Chapter 10 - Review Exercises - Page 490: 12

Answer

non collinear

Work Step by Step

A(-6,5) B(1,7) C(16,10) Using Slope formula $m_{AB}$= $\frac{y2-y1}{x2-x1}$ = $\frac{7-5}{1+6}$ = $\frac{2}{7}$ $m_{BC}$= $\frac{y2-y1}{x2-x1}$ = $\frac{10-7}{16-1}$ = $\frac{3}{15}$ =$\frac{1}{5}$ $m_{AB}$ $\ne$ $m_{BC}$ Therefore A,B and C are not collinear.
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