Answer
$y=-x-\frac{5}{2}$
Work Step by Step
Use the point-slope form $y-y_1=m(x-x_1)$ to solve this problem.
Slope $=-1$, passing through $(-\frac{1}{2},-2)$
$y+2=-1(x+\frac{1}{2})$
$y+2=-x-\frac{1}{2}$
$y=-x-\frac{5}{2}$
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