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: 62

Answer

$y=-3x-1.$

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 $y=-3x$, hence its slope is $m=-3$. Hence here: $y-2=-3(x-(-1))\\y-2=-3x-3\\y=-3x-1.$
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