Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX B - Coordinate Geometry and Lines - B Exercises: 22

Answer

$y=-3x+1$

Work Step by Step

To find an equation of a line with slope $m=-3$ that passes through $(-1,4),$ we use the formula $y=mx+b$. We plug in the values of $m$, $y$, and $x$ to solve for $b$: $4=-3(-1)+b$. Solve for $b$: $b+3=4$ $b=1$. Plug the values of $m$ and $b$ into the formula to get the equation of line: $y=-3x+1$.
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