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

Published by Pearson

Chapter 1-4 - Cumulative Review - Page 301: 12

Answer

Refer to the graph below.

Work Step by Step

Solve for $y$ to obtain: $3y+2x-2x=0-2x \\3y=-2x \\\frac{3y}{3}=\frac{-2x}{3} \\y=-\frac{2}{3}x$ This means that given equation is equivalent to and has the same graph as $y=-\frac{2}{3}x$. To graph this equation, perform the following steps: (1) Create a table of values by assigning convenient values to $x$ and solving for the value of $y$ for each one. (refer to the table below) (2) Plot each ordered pair then connect the points using a line. (Refer to the graph in the answer part above.)

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