Answer
$y=-x-\frac{17}{4}$
Work Step by Step
Use the point-slope form $y-y_1=m(x-x_1)$ to solve this problem.
Slope $=-1$, passing through $(-4,-\frac{1}{4})$
$y+\frac{1}{4}=-1(x+4)$
$y+\frac{1}{4}=-x-4$
$y=-x-\frac{17}{4}$
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