Answer
slope$=0$
See graph.
Work Step by Step
1. Find the derivative of $f(x)=x^2+2x-3$ as $f'(x)=2x+2$
2. Find the slope of the tangent line $m=f'(-1)=0$
3. Find the line equation $y+4=0(x+1)$ or $y=-4$
4. See graph.
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