Answer
$y=-2x+12$
Work Step by Step
$2x+y=-6$
$y=-2x-6$
Slope is $-2$.
$y=mx+c$
$y=-2x+c$
Intersects point $(4,4)$
$4=-2(4)+c$
$4=-8+c$
$c=12$
$y=-2x+12$
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