Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.5 Equations of Lines and Linear Models - 2.5 Exercises: 17

Answer

$y=-8$

Work Step by Step

RECALL: (1) The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept. (2) A line with a slope of zero is horizontal, the equation of which is of the form $y=k$ where $k$ is the y-intercept. All points on the line have a y-coordinate of $k$. The given line has a slope of zero therefore it is horizontal and its equation is of the form $y=k$. The line contains the point $(5, -8)$. The y-coordinate of this point is $-8$. Thus, the line's equation is $y=-8$. The equation of the line cannot be written in slope-intercept form.
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