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 202: 29

Answer

No

Work Step by Step

We know that a line can be defined by either a) two points or b) a slope and one point. Thus, if the slope is the same for two equations of a line, and if they share the same y-intercept (a common point), then the two different equations describe the same line. While you can say that two different equations for the same line are "parallel," we generally only say two equations are parallel if they describe different lines. Thus, the answer is no.
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