Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Review Exercises: 47

Answer

$y=-\frac{5}{3}x+2$ slope = $-\frac{5}{3}$ y-intercept = 2

Work Step by Step

RECALL: The slope-intercept form of a line's equation is given as $y=mx+b$ where m = slope and b = y-intercept. Subtract $5x$ on both sides of the equation to obtain: $3y=6-5x \\3y=-5x+6$ Divide $3$ on both sides of the equation to obtain: $y=\dfrac{-5x+6}{3} \\y = -\frac{5}{3}x + 2$ The line has a slope of $-\frac{5}{3}$ and a y-intercept of $2$.
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