College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.3 - Lines - 2.3 Assess Your Understanding: 40

Answer

$\color{blue}{y=-\dfrac{1}{2}x}$

Work Step by Step

$y=mx+b$, where $m=slope$ and $b$ = y-intercept. The given line has a y-intercept of $0$, so its tentative equation is: $y=mx + 0 \\y=mx$ To find the value of $m$, substitute the x and y values of the point $(-2, 1)$ into the tentative equation to obtain: $y=mx \\1 = m(-2) \\1=-2m \\\frac{1}{-2}=m \\-\frac{1}{2}=m$ Thus, the equation of the line is $\color{blue}{y=-\dfrac{1}{2}x}$.
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