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: 30


$y = \frac34x +6$

Work Step by Step

We are told to find the equation of the line that satisfies the following conditions: The $x$-intercept is $-8$ and the $y$-intecept is $6$ 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: $y−y_1=m(x−x_1)$ It may not be obvious at first, but the intercepts given are actually the points: $(-8,0)$ and $(0,6)$ $m =\frac{6-0}{0-(-8)} = \frac{6}{8} = \frac34$ $y - 6=\frac34x$ $y= \frac34x +6$ or $y = mx + b$ $m = \frac34$ $b = 6$ $y = \frac34x +6$
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