Elementary Geometry for College Students (7th Edition)

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: 32

Answer

$m = -\frac{h-c}{k-d}$

Work Step by Step

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