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: 98

Answer

Therefore the slope of a line parallel to the given line also $\frac{3}{4}$.

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: $\\\\4y=3x+10 \\\\y=\dfrac{3x+10}{4} \\\\y=\frac{3}{4}x+\frac{5}{2}$ $\\\\$The given function has a slope of $\frac{3}{4}$. $\\\\$Parallel lines have the same slopes therefore the slope of a line parallel to the given line also $\frac{3}{4}$.
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