College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Section 8.8 - Linear Programming - 8.8 Assess Your Understanding - Page 632: 36

Answer

$y=3x+7.$

Work Step by Step

We know that two non-vertical lines are parallel if their slopes are equal. Hence here $m=3$ We know that if the slope of a line is $m$ and it contains $P_1(x_1,y_1)$, then its equation is: $y-y_1=m(x-x_1).$ Hence here: $y-1=3(x-(-2))\\y-1=3(x+2)\\y-1=3x+6\\y=3x+7.$
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