Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.3 - Graphing Linear Functions - Exercise Set - Page 150: 16


Refer to the attached image below for the graph of the given function.

Work Step by Step

Find the x and y intercepts by setting y=0 and x=0, respectively. $\\\\$x-intercept: $\\\\2x=y \\\\2x=0 \\\\x=0$ $\\$Thus, the x-intercept is at (0,0). $\\\\\\\\$y-intercept: $\\\\2x=y \\\\2(0)=y \\\\0=y$ $\\$Thus, the y-intercept is also at (0,0). $\\\\\\\\$Get a third point. Let x=2 then solve for y to have: $\\\\2x=y \\\\2(2)=y \\\\4=y$ $\\$Thus, the point (2, 4) is also on the graph of the given function. $\\\\\\\\$Plot (0,0) and (2,4) then connect them using a straight line to complete the graph.
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