Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 10 - Section 10.4 - Analytic Proofs - Exercises - Page 473: 31

Answer

$\frac{-a}{b}$

Work Step by Step

The tangent line is perpendicular to the radius. Thus, we first find the slope between the point and the radius: $m= \frac{b}{a}$ The slope of the tangent line is the opposite reciprocal, so we find: $m = \frac{-a}{b}$
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