Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.5 Equations of Lines and Linear Models - 2.5 Exercises - Page 247: 77

Answer

No.

Work Step by Step

Step 1. Given $A(-1,-3), B(-5,12), C(1,-11)$, for $AB$, we have $m_1=\frac{-3-12}{-1-(-5)}=-\frac{15}{4}$ Step 2. For $BC$, we have $m_2=\frac{12-(-11)}{-5-1}=-\frac{23}{6}$ Step 3. For $AC$, we have $m_3=\frac{-3-(-11)}{-1-1}=-\frac{9}{2}$ Step 4. Since we do not have $m_1=m_2=m_3$, the three points are not collinear.
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