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

Published by Pearson

# Chapter 3 - Introduction to Graphing - 3.3 Graphing and Intercepts - 3.3 Exercise Set: 38

#### Answer

x-intercept: $(4, 0)$ y-intercept: $(0, -8)$ Refer to the graph below.

#### Work Step by Step

To find the x-intercept, set y=0, then solve for $x$: $2x-y=8 \\2x-0=8 \\2x=8 \\\frac{2x}{2}=\frac{8}{4} \\x=4$ Thus, the x-intercept is $(4, 0)$. To find the y-intercept, set x=0, then solve for $y$: $2x-y=8 \\2(0)-y=8 \\-y=8 \\-y(-1)=8(-1) \\y=-8$ Thus, the y-intercept is $(0, -8)$. 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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