Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 2 - Section 2.3 - Writing Equations of Lines - 2.3 Exercises - Page 173: 65

Answer

$2y+3=0$

Work Step by Step

Using $y-y_1=m(x-x_1)$ or the point-slope form of linear equations, the equation of the line passing through $ \left( -\dfrac{3}{4},-\dfrac{3}{2} \right)$ and with a slope of $m= 0 $ is \begin{array}{l}\require{cancel} y-\left( -\dfrac{3}{2} \right)=0 \left(x-\left( -\dfrac{3}{4} \right) \right) \\\\ y+\dfrac{3}{2}=0 \left(x+\dfrac{3}{4} \right) \\\\ y+\dfrac{3}{2}=0 \\\\ 2y+3=0 .\end{array}
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