Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.10 - Lines - 1.10 Exercises - Page 115: 41

Answer

$y=5$, or, in general form, $y-5=0$

Work Step by Step

Through $(4,5);$ parallel to the $x$-axis A point through which the line passes is given. The fact that the line is parallel to the $x$-axis is also known. If the line is parallel to the $x$-axis, then it's completely horizontal and its equation can be represented just by making $y$ equal to the $y$ coordinate of some point through which the line passes. The equation of this line is: $y=5$, or, in general form, $y-5=0$
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