Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.1 - Linear Equations in Two Variables - 2.1 Exercises - Page 169: 38


$(-1,-7)$, $(1,-11)$, $(4,-17)$

Work Step by Step

Use the point-slope form: $y-y_1=m(x-x_1)$, where $m$ is the slope and $(x_1,y_1)$ is a point on the line. $y-(-9)=-2[x-0]$ $y+9=-2x$ $y=-2x-9$ Now, choose three different values for $x$ to find three different points on the line. For example, $x=-1$, $x=1$ and $x=4$: $x=-1$: $y=-2(-1)-9=2-9=-7$ Point: $(-1,-7)$ $x=0$: $y=-2(1)-9=-2-9=-11$ Point: $(1,-11)$ $x=4$: $y=-2(4)-9=-8-9=-17$ Point: $(4,-17)$
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