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: 26

Answer

$y=x-1$

Work Step by Step

First, we find the slope. To find the slope of the line passing through $(-1,-2)$ and $(4,3)$, we use the slope formula: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$. Plug in the given values of $x$ and $y$: $m=\frac{3-(-2)}{4-(-1)}$. Simplify to arrive at the slope: $m=1$. We plug in the slope and the values of $x$ and $y$ into the equation $y=mx+b$: $3=1(4)+b$. Solve for $b$: $3=b+4$ $b=-1$. Plug in the values of $m$ and $b$ into the formula to find the equation of the line: $y=x-1$.
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