Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - 6-6 Systems of Linear Inequalities - Lesson Check - Page 398: 2

Answer

$y\geq3x+3$ $y< -x-2$

Work Step by Step

(-1,0) and (0,3) $m = (3-0)/(0--1)$ $m = 3/1 = 3$ $y=mx+b$ $3 = 3*0 + b$ $3 = 0 + b$ $3 = b$ $y=3x+3$ (0,0) is not part of the solution, so $y\geq3x+3$ is the formula (-2,0) and (0, -2) $m = (0--2)/(-2-0)$ $m = 2/-2 = -1$ $y = mx+b$ $0 = -1*-2 +b$ $0 = 2 + b$ $0-2 = 2+b-2$ $-2 = b$ $y= -x-2$ (0,0) is not part of the solution, so $y< -x-2$ is the formula
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