Calculus (3rd Edition)

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

Chapter 1 - Precalculus Review - 1.2 Linear and Quadratic Functions - Exercises - Page 18: 2


Slope: $m=-1$ $x$-intercept: $(4,0)$ $y$-intercept: $(0,4)$

Work Step by Step

$y=4-x$ Rearrange the equation of this line by writing $x$ first: $y=-x+4$ This line is now in slope-intercept form, which is $y=mx+b$, where $m$ is the slope of the line and $b$ is its $y$-intercept. Comparing the given equation to the slope-intercept form, it can be seen that $m=-1$ and $b=4$ The slope of the given line is $m=-1$ and its $y$-intercept is the point $(0,4)$ To find the $x$-intercept, set $y$ equal to $0$ and solve for $x$: $0=-x+4$ $x=4$ The $x$-intercept of the given line is the point $(4,0)$
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