Intermediate Algebra (12th Edition)

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

Chapter 2 - Section 2.1 - Linear Equations in Two Variables - 2.1 Exercises - Page 146: 62

Answer

(D)

Work Step by Step

A line in slope-intercept form has the equation: $y=mx+b$ ($m=slope$, $b=y-intercept$) We convert the line equation to slope-intercept form: $x-3y=-3$ $-3y=-3-x$ $y=(-3-x)/-3$ $y=1+\frac{1}{3}x$ $y=\frac{1}{3}x+1$ So the line has a $y$-intercept of 1 and a positive slope. Only (D) matches these properties.
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