College Algebra (10th Edition)

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

Chapter 2 - Section 2.3 - Lines - 2.3 Assess Your Understanding: 72

Answer

$\color{blue}{x=3}$

Work Step by Step

RECALL: (1) A vertical line has an equation $x=h$ where $h$ is the x-intercept. Every point on this line has $x=h$. (2) A horizontal line has an equation $y=k$ where $k$ is the y-intercept. Every point on this line has $y=k$. (3) A vertical line and a horizontal line are perpendicular to each other. The line we are looking for is perpendicular to the horizontal line $y=8$. This means that the line we are looking for is vertical. Since the line contains the point $(3, 4)$, then every point on the line has $x=3$. Thus, the equation of the line we are looking for is: $\color{blue}{x=3}$
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