Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - Chapter 2 Test Prep - Review Exercises - Page 297: 37


Refer to the graph below.

Work Step by Step

The given equation can be graphed using its intercepts. Find the x-intercept by setting $y=0$ then solving for $x$: $2x-5y=5 \\2x-5(0)=5 \\2x=5 \\\frac{2x}{2}=\frac{5}{2} \\x=2.5$ The x-intercept is $(2.5, 0)$. Find the y-intercept by setting $x=0$ then solving for $y$: $2x-5y=5 \\2(0)-5y=5 \\-5y=5 \\\frac{-5y}{-5}=\frac{5}{-5} \\y=-1$ The y-intercept is $(0, -1)$. Plot the x and y-intercepts then connect them using a straight line. (Refer to the graph in the answer part above.)
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