Elementary Technical Mathematics

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

Chapter 8 - Review - Page 317: 28

Answer

The lines are parallel.

Work Step by Step

Rewrite the equations in the slope-intercept form $y=mx+c$ as follows: $$ y=-\frac{2}{5}x+\frac{8}{5}, \quad y=-\frac{2}{5}x+\frac{5}{2} .$$ By comparing the given equations with the standard slope-intercept form of a line, $y=mx+c$, we find the slopes $m_1$and $m_2$ as follows $$ m_1=-\frac{2}{5}, \quad m_2=-\frac{2}{5} .$$ Now, since $$ m_1=m_2=-\frac{2}{5}$$ then the lines are parallel.
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