Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 10 - Section 10.5 - Equations of Lines - Exercises - Page 471: 8

Answer

We draw a line that goes through the point $(0,-6)$ and the point $(2,-3)$.

Work Step by Step

Using the method in example three, we first put the equation in slope-intercept form. $y = \frac{3}{2}x -6$ 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 3/2 in this case), we go up 3 and over 2 to the point $(2,-3)$. We then draw a line through both of the points that we graphed.
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