College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.3: 59

Answer

$a)$ $y=-3x+5$ $b)$ $m=-3$ and $b=5$ $c)$
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Work Step by Step

$3x+y-5=0$ The slope-intercept form of the equation of a line is $y=mx+b$, where $m$ is the slope of the line and $b$ is its $y$-intercept $a)$ $3x+y-5=0$ Take $3x$ and $5$ to the right side of the equation: $y=-3x+5$ The equation is now in slope-intercept form. $b)$ Comparing the obtained equation to the slope-intercept form of the equation of a line shown at the top, it can be seen that $m=-3$ and $b=5$. The slope of the line given is $m=-3$ and its $y$-intercept is $(0,5)$ $c)$ The graph is shown below:
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