Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 9 - Quadratic Functions and Equations - Common Core Cumulative Standards Review - Selected Response - Page 610: 27

Answer

$y > (2/3)x +4/3$

Work Step by Step

First, find the equation of the line. With examination of the line, you can find the slope is $2/3$ and the y-intercept is $1/3$. Use the slope-intercept form for this. $y = (2/3)x +4/3$ Now, use a random point in the shaded part of the inequality and replace the equal sign to make the inequality true. The line is dashed, so the possibilities we can have are $\lt$ or $>$. For this solution, we will use $(-2,2)$ $2 = -4/3 + 4/3$ Because the left side is greater than the right side, replace the equal sign in the equation of the line with $\gt$ $y > (2/3)x +4/3$
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