Calculus 8th Edition

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

Appendix B - Coordinate Geometry and Lines - B Exercises: 23

Answer

$y = \frac{2}{3}x + \frac{19}{3}$

Work Step by Step

We are told to find the equation of the line that satisfies the following conditions: Passes through the point $(1,7)$, and has a slope of $\frac23$, To find the equation of the line we use point slope form: $y−y_1=m(x−x_1)$ $x_1=1$ $y_1=7$ $m=\frac23$ $y−7=\frac23(x−1)$ $y=\frac23x−\frac23+7$ $y = \frac{2}{3}x + \frac{19}{3}$
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