Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 10 - Section 10.5 - Equations of Lines - Exercises - Page 487: 7

Answer

We draw a line that goes through the point $(0,6)$ and the point $(5,4)$.

Work Step by Step

Using the method in example three, we first put the equation in slope-intercept form. $y = \frac{-2}{5}x +6$ We then graph the y-intercept, which in this case is $(0,6)$. Next, knowing that the slope is equal to rise over run (the slope is -2/5 in this case), we go down 2 and over 5 to the point $(5,4)$. We then draw a line through both of the points that we graphed. We draw a line that goes through the point $(0,6)$ and the point $(5,4)$.
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