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: 57

Answer

(a) Standard form $x=-5$ (b) Slope-intercept form (The equation cannot be written in slope-intercept form.) $x=-5$

Work Step by Step

RECALL: (1) The standard form of a line's equation is $Ax+By=C$. (2) 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. (3) Parallel lines have the same slope. (4) A line whose equation is of the form $x=h$ is vertical and parallel to the y-axis. Every point on the line has an x-coordinate $h$. The line is parallel to the vertical line $x=-2$. This means the line is also vertical. Since the vertical line contains the point $(-5, 6)$, then every point on the line must have x and y-coordinate of $-5$. Thus, the equation of the line is $x=-5$. (a) Standard form $x=-5$ (b) Slope-intercept form (The equation cannot be written in slope-intercept form.) $x=-5$
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