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 - Page 164: 97

Answer

The slope of a line parallel to the given line $2.5$.

Work Step by Step

RECALL: $\\\\$(i) The slope-intercept form of a line's equation is $y=mx+b$, m=slope and b=y-intercept. $\\\\$(ii) Parallel lines have slopes that are equal. $\\\\\\$Write the given equation in slope-intercept form to have: $\\\\-2y=-5x+6 \\\\y=\dfrac{-5x+6}{-2} \\\\y=2.5x-3$ $\\\\$The given function has a slope of 2.5. $\\\\$Parallel lines have the same slopes therefore the slope of a line parallel to the given line also $2.5$.
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