Answer
$y=x+4$ or $x-y=-4$
Work Step by Step
Step 1. Given intercepts $(-4,0),(0,4)$, we can find the slope $m=\frac{0-4}{-4-0}=1$.
Step 2. Using either point (2nd used here), we can write the equation as $y-4=(x-0)$ or $y=x+4$ or $x-y=-4$
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