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 - Page 179: 40


x-intercept: $(2, 0)$ y-intercept: $(0, 6)$ Refer to the graph below.

Work Step by Step

To find the x-intercept, set y=0, then solve for $x$: $y=-3x+6 \\0=-3x+6 \\3x=6 \\\frac{3x}{3}=\frac{6}{3} \\x=2$ Thus, the x-intercept is $(2, 0)$. To find the y-intercept, set x=0, then solve for $y$: $y=-3x+6 \\y=-3(0)+6 \\y=0+6 \\y=6$ 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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