Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 3 - Introduction to Graphing - 3.3 Graphing and Intercepts - 3.3 Exercise Set: 39

Answer

x-intercept: $(3, 0)$ y-intercept: $(0, -6)$ Refer to the graph below.
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Work Step by Step

To find the x-intercept, set y=0, then solve for $x$: $y=2x-6 \\0=2x-6 \\6=2x \\\frac{6}{2}=\frac{2x}{2} \\3=x$ Thus, the x-intercept is $(3, 0)$. To find the y-intercept, set x=0, then solve for $y$: $y=2x-6 \\y=2(0)-6 \\y=0-6 \\y=-6$ Thus, the y-intercept is $(0, -6)$. Plot the intercepts on the same coordinate plane, then connect the two points using a line. Refer to the attached image in the answer part above for the graph.
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