Algebra 1

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

Chapter 9 - Quadratic Functions and Equations - Cumulative Test Prep - Extended Response - Page 596: 28

Answer

a) Please see the graph. Red line: $y=2x+5$ Blue line: $y=-x+11$ b) $(2,9)$
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Work Step by Step

a) The line $y=2x+5$ has a slope of 2. Let $x=0$: $y=2x+5$ $y=2*0+5$ $y=0+5$ $y=5$ Let $x=1$ $y=2x+5$ $y=2*1+5$ $y=2+5$ $y=7$ $(0,5)$ and $(1,7)$ are on the line. The line $y=-x+11$ has a slope of -1. Let $x=0$ $y=-x+11$ $y=-1*0+11$ $y=0+11$ $y=11$ Let $x=1$ $y=-x+11$ $y=-1*1+11$ $y=-1+11$ $y=10$ $(0,11)$ and $(1,10)$ are on the line. b) $2x+5=-x+11$ $3x+5=11$ $3x=6$ $3x/3=6/3$ $x=2$ $2x+5 = y$ $2*2+5=y$ $4+5=y$ $y=9$
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