College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.3 - Lines - 1.3 Exercises - Page 113: 26



Work Step by Step

RECALL: The slope-intercept form of a line's equation is $y=mx+b$ where m = slope and b = y-intercept. The given line has $m=-1$ and passes through the point $(-2, 4)$. Thus, the tentative equation of the line is: $y=-1(x)+b \\y=-x+b$ To find the value of $b$, substitute the coordinates of $(-2, 4)$ into the tentative equation above to obtain: $y=-x+b \\4 = -(-2) + b \\4 = 2 + b \\4-2 = b \\2=b$ Therefore, the equation of the line is: $y=-x+2$
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