Algebra 1

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

Chapter 5 - Linear Functions - 5-5 Standard Form - Practice and Problem-Solving Exercises - Page 325: 41

Answer

Red line: $3x+y=6$ Green line: $-3x+y = 6$ Blue line: $3x-y =6$ The red and green lines have the same intercept (6), and the green and blue lines have the same slope. The blue line has a different intercept (-6), and the red line has a different slope (-3).
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Work Step by Step

red line: $3x + y = 6$ $3x + y -3x = 6-3x$ $y = -3x + 6$ green line: $-3x+y = 6$ $-3x+y +3x = 6+3x$ $y = 3x + 6$ blue line: $3x-y =6$ $3x - y +y -6 = 6 + y - 6$ $3x - 6 = y$
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