Answer
$y=-x$
Work Step by Step
Eq. of tangent line to $f$ at $x=a$:
$y - f(a) = f'(a)(x-a)$
So, if $a = 2$, $f(a)=f(2)=-2$, and $f'(a) = f'(2) = -1$, then
$y - (-2) = -1(x-2) \iff y = -x$
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 2 - The Derivative - 2.3 Introduction To Techniques Of Differentiation - Exercises Set 2.3 - Page 140: 40
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