Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter F - Foundations: A Prelude to Functions - Section F.3 Lines - F.3 Assess Your Understanding: 2

Answer

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

Work Step by Step

RECALL: The slope-intercept form of a line's equation is $y=mx+b$ where $m$ = slope, $b$= y-intercept. Write the given equation in slope-intercept form by isolating $y$ on one side: $3y=-2x+6 \\y =\dfrac{-2x+6}{3} \\y=-\frac{2}{3}x + 2$ Thus, the slope of the line is $-\frac{2}{3}$ and the y-intercept is $2$.
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