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 - Page 243: 16

Answer

$x=5$

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 an undefined slope is vertical, the equation of which is of the form $x=h$ where $h$=x-intercept. All points on the line have an x-coordinate of $h$. The given line has an undefined slope therefore its equation is of the form $x=h$. The line contains the point $(5, 1)$. The x-coordinate of this point is $5$. Thus, the line's equation is $x=5$. The equation of the line cannot be written in slope-intercept form.
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