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

Published by Pearson

# Chapter 3 - Introduction to Graphing - 3.2 Graphing Linear Equations - 3.2 Exercise Set: 45

#### Answer

Refer to the graph below.

#### Work Step by Step

Solve for $y$. Subtract $6x$ to both sides: $6x-3y-6x=9-6x \\-3y=9-6x$ Divide $-3$ to both sides: $\frac{-3y}{-3}=\frac{9-6x}{-3} \\y=\frac{9}{-3} -\frac{6x}{-3} \\y=-3+2x \\y=2x-3$ Thus, the given equation is equivalent to $y=2x-3$. To graph the equation, perform the following steps: (1) Create a table of values by assigning convenient values to $x$, then solve for the corresponding value of $y$ for each value of $x$. (refer to the attached image below for the table) (2) Plot each point (or ordered pair) on the same coordinate plane, then connect the points using a straight line. (refer to the attached image in the answer part above for the final graph)

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