Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 10 - Section 10.5 - Equations of Lines - Exercises - Page 471: 20

Answer

$3x+y=3$

Work Step by Step

As the line is parallel to $3x +y =7$ they have the same slope. We need to find the slope now: $3x+y=7$ this means: $y=-3x+7$ Where $-3$ is the slope. Now, with the slope-intercept form, with m=$-3$ and passing through $(0,3)$, the equation is: $y-y_{1}=m\times (x-x_{1})= y-3 = -3\times (x-0)$ So $3x+y=3$
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