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

Published by Pearson

# Chapter 1-3 - Cumulative Review - Page 228: 28

#### Answer

Refer to the graph below.

#### Work Step by Step

Solve for $y$. $2y-5+5=3+5 \\2y=8 \\\frac{2y}{2}=\frac{8}{2} \\y=4$ The equation above means that the given equation is equivalent to, and has the same graph as, $y=4$. RECALL: The graph of an equation of the form $y=k$, where $k\ne0$, is a horizontal line whose y-intercept is $(0,k)$. All points on the line have a y-coordinate of $k$. Thus, the graph of the given equation, which is the same as the graph of $y=4$, is a horizontal line whose y-intercept is $(0,4)$. All points on the line have a y-coordinate of 4. The following points are on the line: $(2, 4)$ $(0,4)$ $(-2, 4)$ Plot the three points then connect them using a line to complete the graph. (Refer to the graph in the answer part above.)

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