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: 58

Answer

(a) Standard form $y=-4$ (b) Slope-intercept form $y=-4$

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) Vertical lines and horizontal lines are perpendicular to each other. (4) Horizontal lines have points that share the same y-coordinate. The line is perpendicular to the vertical line $x=-2$. This means the line we are looking for is a horizontal line. Since the the horizontal line contains the point $(4, -4)$, and a horizontal line's points share the same y-coordinate, then the equation of the line must we are looking for is $y=-4$. (a) Standard form $y=-4$ (b) Slope-intercept form $y=-4$
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