Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.2 Linear Functions and Their Graphs - Exercise Set 7.2 - Page 430: 4

Answer

Refer to the image below for the graph.

Work Step by Step

(1) Solve for the x and y intercepts. To find the x-intercept, set $y = 0$ and then solve for $x$: $2x-5y=10 \\2x-5(0)= 10 \\2x=10 \\x=\frac{10}{2} \\x=5$ This means that the x-intercept is at $(5, 0)$. To find the y-intercept, set $x = 0$ and then solve for $y$: $2x-5y=10 \\2(0) - 5y =10 \\-5y=10 \\y = \frac{10}{-5} \\y=-2$ This means that the y-intercept is at $(0, -2)$. (2) Plot the intercepts and then connect them using a line. (Please refer to the attached image in the answer part above for the graph.)
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