# Chapter 11 - Test - Page 1180: 15

$y=-6x-9$

#### Work Step by Step

$m=f^{,}(x)=\dfrac{d^2x}{dx^2}=2x$ Put $x=-3$ So, $m=f^{,}(-3)=2(-3)=-6$ The equation of the line is: $y=mx+c \implies c= y-x$ Now, $y=9-(-6)(-3)=-9$ So, $y=-6x-9$

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