## 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 - Page 170: 15

#### Answer

Both ordered pairs satisfy the equation (refer to the step-by-step part below). $(0, 3)$ 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 $(4, 5)$: $y=\frac{1}{2}x+3 \\5=\frac{1}{2}(4)+3 \\5=2+3 \\5=5$ For $(-2, 2)$: $y=\frac{1}{2}x+3 \\2=\frac{1}{2}(-2)+3 \\2=-1+3 \\2=2$ Both ordered pairs satisfy the equation so they are both solution 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 $(0, 3)$ so it is also a solution of the equation. After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.