Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Mid-Chapter Check Point - Page 229: 45

Answer

parallel to each other.

Work Step by Step

Step 1. To test if two lines are parallel, we need to compare their slopes, which can be obtained using a formula $m=\frac{y_2-y_1}{x_2-x_1}$ Step 2. For the first line, we have $m_1=\frac{0+4}{7-2}=\frac{4}{5}$ Step 3. For the second line, we have $m_2=\frac{6-2}{1+4}=\frac{4}{5}$ Step 4. Since $m_1=m_2$, the two lines are parallel to each other.
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