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: 48

Answer

(a.) Slope-intercept form $y=\frac{-7}{2}x+7$. (b.) Slope $m=\frac{-7}{2}$ and $y−$ intercept is $b=7$. (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 $7x+2y=14$. Isolate $y$. $y=\frac{-7}{2}x+7$. (b.) The slope of the equation is $m=\frac{-7}{2}$. and the $y−$ intercept is $b=7$. (c.) The first point is $(0,7)$, because $b=7$. For the second point use slope. slope $=\frac{-7}{2}=\frac{Rise}{Run}$. The second point is $(0+2,7-7)=(2,0)$. By using these two point draw a straight line.
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