## Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning

# APPENDIX B - Coordinate Geometry and Lines - B Exercises - Page A 15: 24

#### Answer

$2y=-7x-31$

#### Work Step by Step

To find an equation of a line with slope $m=-\frac{7}{2}$ that passes through $(-3,-5)$, we use formula $y=mx+b$. We plug in the values of $m$, $y$, and $x$ to solve for $b$: $-5=-\frac{7}{2}(-3)+b$. Solve for $b$: $b+\frac{21}{2}=-5$ $b=-\frac{31}{2}$. Plug the values of $m$ and $b$ into the formula to get the equation of the line: $y=-\frac{7}{2}x-\frac{31}{2}$. Multiply by 2 on both sides to simplify: $2y=-7x-31$.

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