Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.4 - The Slope of a Line - Exercise Set: 61



Work Step by Step

We are given two lines written in the form $y=mx+b$, where m is the slope of the line and the point (0,b) is the y-intercept. $y=12x+6$ and $y=12x-2$ We know that m=12 for both lines, so both lines have the same slope. Also, b=6 for one line and b=-2 for the other, so the lines must have different y-intercepts. For non-vertical lines, two lines are parallel if they have the same slope and different y-intercepts, so these lines must be parallel.
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