Answer
$y=-x$
Work Step by Step
The point-slope equation of a line containing the point $(x_{1},y_{1})$, with slope $m$ is
$y=y_{1}+m(x-x_{1})$
Given $(x_{1},y_{1})=(-1,1)$ and $m=-1$
$y=1+(-1)(x-(-1)$
$y=1-(x+1)$
$y=1-x-1$
$y=-x$
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