Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 3 - Parallel and Perpendicular Lines - 3-8 Slopes of Parallel and Perpendicular Lines - Practice and Problem-Solving Exercises - Page 201: 7

Answer

The lines are parallel.

Work Step by Step

We know that if the slopes of two lines are the same, then they are parallel. To check whether the slopes are the same, we use the equation for slope: $$\frac{y_2-y_1}{x_2-x_1}$$ $$\frac{3-1}{0-4}= -1/2$$ $$\frac{1+2}{-6-0}=-1/2$$
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