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: 37


$(-2,10)$, $(0,14)$, $(3,20)$

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. $y-4=2[x-(-5)]$ $y-4=2(x+5)$ $y-4=2x+10$ $y=2x+14$ Now, choose three different values for $x$ to find three different points on the line. For example, $x=-2$, $x=0$ and $x=3$: $x=-2$: $y=2(-2)+14=-4+14=10$ Point: $(-2,10)$ $x=0$: $y=2(0)+14=14$ Point: $(0,14)$ $x=3$: $y=2(3)+14=6+14=20$ Point: $(3,20)$
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