Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 2 - Section 2.3 - Writing Equations of Lines - 2.3 Exercises: 37

Answer

(a) $y=-\frac{1}{2}x-2$ (b) $slope=m=-\frac{1}{2}$ (c) $y-intercept=b=-2$; point $(0,-2)$ (d) See graph.

Work Step by Step

(a) A line in slope-intercept form has the equation: $y=mx+b$ ($m=slope$, $b=y-intercept$) We put the equation into slope-intercept form: $x+2y=-4$ $2y=-x-4$ $y=-\frac{1}{2}x-2$ (b) We see that $slope=m=-\frac{1}{2}$ (c) We see that $y-intercept=b=-2$; point $(0,-2)$ (d) See graph.
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