Calculus 8th Edition

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

Appendix B - Coordinate Geometry and Lines - B Exercises - Page A15: 25


$y = -5x +11$

Work Step by Step

We are told to find the equation of the line that satisfies the following conditions: Passes through the points $(2,1), (1,6)$ To find the equation of the line we must find the slope: $m = \frac{y_2 -y_1}{x_2 - x_1}$ and then use point slope form: $y−y_1=m(x−x_1)$ $m =\frac{6-1}{1-2} = \frac{5}{-1} = -5$ $y− 1=-5(x− 2)$ $y=-5x +10 + 1$ $y = -5x +11$
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