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: 66

Answer

$\color{blue}{y=2}$

Work Step by Step

RECALL: (1) A line whose equation is of the form $y=k$ is a horizontal line whose y-intercept is $k$. All points on this line have a y-coordinate $y=k$. (2) Horizontal lines are parallel to each other. The line we are looking for is parallel to the horizontal line $y=5$. This means that line is also horizontal and its equation is of the form $y=k$. Every point on the line has a y-coordinate $y=k$. The line contains the point $(4, 2)$. Since the y-coordinate of this point is $2$, the equation of the line is: $\color{blue}{y=2}$
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