Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.3 Lines - 1.3 Assess Your Understanding - Page 31: 64

Answer

$y=\frac{x}{2}.$

Work Step by Step

If two lines are parallel then their slopes must be equal. We know that if the slope of a line is $m$ and it contains $P_1(x_1,y_1)$, then its equation is: $y-y_1=m(x-x_1).$ It is parallel to $x-2y=-5$, which is $y=\frac{x}{2}+\frac{5}{2}$, then its slope is $m=\frac{1}{2}$. Hence here: $y-0=\frac{1}{2}(x-0)\\y=\frac{x}{2}.$
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