Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter P - P.2 - Linear Models and Rates of Change - Exercises - Page 17: 55


a) x = -7 b) y = -2

Work Step by Step

a) For the lines to be parallel, they must have the same slope, and x = 1 has an undefined slope. So the only line that passes through the point (-7, -2) and has an undefined slope is a vertical line. That is the line x = -7. b) In order for the line to be perpendicular to x = 1, which is a vertical line, it must be horizontal with the slope = 0. So by plugging in the point (-7,-2) and m = 0 into point slope form of an equation, we get y - (-2) = 0(x-(-2)). By simplifying, we get y = -2.
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