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: 12

Answer

$\color{blue}{y=-x+6}$

Work Step by Step

RECALL: 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. The given line has a slope of $-1$ therefore the tentative equation of the line is : $y=-1(x)+b \\y=-x+b$ To find the value of $b$, substitute the x and y values of the given point into th tentative equation above to obtain: $y=-x+b \\4=-2+b \\4+2=-2+b+2 \\6=b$ Therefore, the equation of the line is $\color{blue}{y=-x+6}$.
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