Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - 2-4 More About Linear Equations - Lesson Check: 3

Answer

x-intercept = 2 y-intercept = 6 Refer to the image below for the graph.
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Work Step by Step

RECALL: (i) The x-intercept is the x-coordinate of the point where the graph crosses the x-axis. The x-intercept can be found by setting y=0. (ii) The y-intercept is the y-coordinate of the point where the graph crosses the y-axis. The y-intercept can be found by setting x=0. Thus, x-intercept: $3x+y=6 \\3x+0=6 \\3x=6 \\x=\frac{6}{3} \\x=2.$ The x-intercept point is (2, 0). y-intercept: $3x+y=6 \\3(0)+y=6 \\0+y=6 \\y=6.$ The y-intercept point is (0, 6). Plot this points then connect them using a line to complete the graph. (Refer to the attached image in the answer part for the graph)
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