Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 8 - Section 8.3 - The Slope of a Line - Exercises - Page 310: 40

Answer

parallel

Work Step by Step

$-3x+9y=20$ $-3x+9y+3x=20+3x$ $9y\div9=(3x+20)\div9$ $y=\frac{3}{9}x+\frac{20}{9}$ $y=\underset\uparrow{\frac{1}{3}}x+\frac{20}{9}$ $\ \ \ \ \ \ $slope $3y=x$ $3y\div3=x\div3$ $y=\underset\uparrow{\frac{1}{3}}x$ $\ \ \ \ \ \ $slope The slope is $\frac{1}{3}$ for both equations so the lines are parallel.
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