Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 3 - Parallel and Perpendicular Lines - 3-8 Slopes of Parallel and Perpendicular Lines - Practice and Problem-Solving Exercises: 12

Answer

$$y-4 = 1/2(x+2)$$

Work Step by Step

We know that if the slopes of two lines are the same, then they are parallel. Thus, we use the slope of the original line and plug in the second point: $$y_2-y_1=m(x_2-x_1)$$ $$y-4 = 1/2(x+2)$$
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