Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Section 2.4 - Linear Functions and Slope - Exercise Set - Page 152: 45


(a.) Slope-intercept form $y=-3x+2$. (b.) Slope $m=-3$ and $y−$ intercept is $b=2$. (c.) The graph is shown below.

Work Step by Step

(a) The standard slope-intercept form is $y=mx+c$. Where, $m=$ slope and $c=y−$intercept. The given equation is $3x+y=2$. Isolate $y$. $y=-3x+2$. (b.) The slope of the equation is $m=-3$. and the $y−$ intercept is $b=2$. (c.) The first point is $(0,2)$, because $b=2$. For the second point use slope. slope $=\frac{-3}{1}=\frac{Rise}{Run}$. The second point is $(0+1,2-3)=(1,-1)$. By using these two point draw a straight line.
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