## College Algebra (10th Edition)

Published by Pearson

# Chapter 2 - Section 2.3 - Lines - 2.3 Assess Your Understanding - Page 179: 87

#### Answer

slope = $0$; y-intercept = $5$ Refer to the image below for the graph.

#### Work Step by Step

RECALL: (1) The slope-intercept form of a line's equation is: $y=mx+b$ where $m$ = slope and $b$ = y-intercept (2) A horizontal line has a slope of zero. The equation of the line is in the form $y=k$ where $k$ is the y-intercept. Every point on this line has a y-coordinate of $y=k$. Thus, the given equation $y=5$ is a horizontal line with a slope of $0$ and a y-intercept of $5$. To graph the line, perform the following steps: (1) Plot the y-intercept point $(0, 5)$. (2) Plot another point with a y-coordinate of $5$. (3) Complete the graph by connecting the two points using a straight line. (refer to the attached image in the answer part above for the graph)

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