Intermediate Algebra (6th Edition)

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

Chapter 4 - Cumulative Review - Page 252: 35a

Answer

The lines have the same slopes so they are parallel.

Work Step by Step

RECALL: $\\\\$(i) The slope-intercept form of a linear equation is y=mx+b where m = slope and b = y-intercept. $\\\\$(ii) Parallel lines have equal or the same slopes. $\\\\$(iii) Perpendicular lines have slopes whose product is negative (negative reciprocals of each other). $\\\\\\$Write each of the given equations in slope-intercept form to have: $\\\\3x + 7y=4 \longrightarrow y=\frac{-3}{7}x+\frac{4}{7} \\\\6x+14y=7 \longrightarrow y=\frac{-3}{7}x+\frac{1}{2}$ $\\\\\\$The two equations have the same slope but different y-intercepts so they are parallel.
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