Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 8 - Coordinate Geometry and Linear Systems - 8.4 - Writing Equations of Lines - Problem Set 8.4: 1

Answer

$2x-3y=-5$

Work Step by Step

Using $y-y_1=m(x-x_1)$ or the Point-Slope Form, the equation of the line with the given point $( 2,3 )$ and slope $m= \dfrac{2}{3} $ is \begin{array}{l}\require{cancel} y-3=\dfrac{2}{3}(x-2) \\\\ 3(y-3)=2(x-2) \\\\ 3y-9=2x-4 \\\\ -2x+3y=-4+9 \\\\ -2x+3y=5 \\\\ 2x-3y=-5 .\end{array}
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