Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Section 2.5 - The Point-Slope Form of the Equation of a Line - Exercise Set: 29

Answer

(a) $5$ (b) $-\frac{1}{5}$

Work Step by Step

RECALL: (i) The linear equation $y=mx+b$ has $m$=the slope and $b$=the y-intercept. (ii) Parallel lines have equal slopes. (iii) Perpendicular lines have opposite reciprocal slopes. The given line has $m=5$, so its slope is $5$. Thus, (a) The slope of any line parallel to the given line is: =$5$ (b) Thus, the slope of any line perpendicular to the given line is: $=-\frac{1}{5}$
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