Answer
$f(x)=-\frac{1}{2}x-8$
Work Step by Step
First, find the slope:
$m=\frac{-5-(-9)}{-6-2}$
$m=\frac{4}{-8}$
$m=-\frac{1}{2}$
Use point-slope form:
$y+9=-\frac{1}{2}(x-2)$
$y=-\frac{1}{2}x+1-9$
$f(x)=-\frac{1}{2}x-8$
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