Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix B - Coordinate Geometry and Lines - B Exercises: 24

Answer

$y = -\frac{7}{2}x - \frac{31}{2}$

Work Step by Step

We are told to find the equation of the line that satisfies the following conditions: Passes through the point $(-3,-5)$, and has a slope of $-\frac72$, To find the equation of the line we use point slope form: $y−y_1=m(x−x_1)$ $x_1=-3$ $y_1=-5$ $m=-\frac72$ $y− (-5)=-\frac72(x− (-3))$ $y=-\frac72x−\frac{21}2-5$ $y = -\frac{7}{2}x - \frac{31}{2}$
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