College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Summary, Review, and Test - Test: 26

Answer

$$ y + 2x - 14 = 0$$

Work Step by Step

Parallel lines have the same slope. Therefore, to answer this question, we must first identify the slope of the line with the given equation. Since it's in general form, we first re-write it in slope-intercept form: $$4x + 2y - 5 = 0$$ $$2y = -4x + 5$$ $$y = -2x + \frac{5}{2}$$ where the slope is $m = -2$. To solve for the missing equation, we use this slope and the point given to write it in point-slope form: $$y - (-10) = -2(x - (-7))$$ $$y + 10 = -2x + 14$$ which we can now write in general form as so: $$ y + 2x - 14 = 0$$
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