## 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: 13

#### Answer

Both ordered pairs satisfy the equation (refer to the step-by-step part below. $(2, 5)$ is also a solution of the equation.

#### Work Step by Step

An ordered pair (or point) is a solution to a given linear equation if its x and y values satisfy the equation. Substitute the x and y values of each ordered pair into the given equation. For $(-1, 2)$: $y=x+3 \\2=-1+3 \\2=2$ For $(4, 7)$: $y=x+3 \\7=4+3 \\7=7$ Both ordered pairs satisfy the equation, so they are both solutions of the given equation. Plot both points on the same coordinate plane, then connect them using a straight line (refer to the attached graph below). Any other point on the line is a solution of the given equation. Note that the line contains the point $(2, 5)$ so it is also a solution of the equation.

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