Calculus 8th Edition

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

Appendix B - Coordinate Geometry and Lines - B Exercises: 29

Answer

$y = 3x - 3$

Work Step by Step

We are told to find the equation of the line that satisfies the following conditions: The $x$-intercept is $1$ and the $y$-intecept is $-3$ 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: $(1,0)$ and $(0,-3)$ $m =\frac{-3-0}{0-1} = \frac{-3}{-1} = 3$ $y - (- 3)=3(x)$ $y=-5x +10 + 1$ $y = 3x -3$ or $y = mx + b$ $m = 3$ $b = -3$ $y = 3x - 3$
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