## 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 - Page 179: 47

#### Answer

x-intercept: $(4, 0)$ y-intercept: $(0, \frac{16}{3})$ Refer to the graph below. #### Work Step by Step

To find the x-intercept, set y=0, then solve for $x$: $4x+3y=16 \\4x+3(0)=16 \\4x+0=16 \\4x=16 \\\frac{4x}{4}=\frac{16}{4} \\x=4$ Thus, the x-intercept is $(4, 0)$. To find the y-intercept, set x=0, then solve for $y$: $4x+3y=16 \\4(0)+3y=16 \\0+3y=16 \\3y=16 \\\frac{3y}{3}=\frac{16}{3} \\y=\frac{16}{3}\approx 5.33$ Thus, the y-intercept is $(0, \frac{16}{3})$. 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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