College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.3 - Lines - 1.3 Exercises: 45

Answer

$x=-1$

Work Step by Step

RECALL: (1) A vertical line has an undefined slope and has an equation of the form $x=h$ where $h$ is the x-coordiante of all the points on the line. (2) Vertical lines are parallel to each other. The line we are looking for the equation if is parallel to the line $x=5$. $x=5$ is a vertical line so its slope is undefined. This means that the line we are looking for the equation of is also vertical and has an equation of the form $x=h$. The line passes through the point $(-1, 2)$. The x-coordinate of this point is $-1$. Therefore, the equation of the line we are looking for is: $x=-1$
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