Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - Chapter Review Exercises - Page 36: 23


$$ y=-x+5.$$

Work Step by Step

Since the line is parallel to the line given by $ y = 4-x $, then its slope is $-1$; hence the line has the equation $$ y=-x+c.$$ To find $ c $, we make use of the fact that the line passes through $(2,3)$: $$3=-2+c\Longrightarrow c=5$$ Hence the equation of the line is $$ y=-x+5.$$
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