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: 55

Answer

(a) Standard form $y=1$ (b) Slope-intercept form $y=1$

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 $y=k$ is horizontal and parallel to the x-axis. Every point on the line has a y-coordinate $k$. The line is parallel to the horizontal line $y=-5$. This means the line is also horizontal. Since the horizontal line contains the point $(4, 1)$, then every point on the line must have a y-coordinate of $1$. Thus, the equation of the line is $y=1$. (a) Standard form $y=1$ (b) Slope-intercept form $y=1$
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