Answer
slope=$12$
See graph.
Work Step by Step
1. Find the derivative of $f(x)=2x^2+8x$ as $f'(x)=4x+8$
2. Find the slope of the tangent line $m=f'(1)=12$
3. Find the line equation $y-10=12(x-1)$ or $y=12x-2$
4. See graph.
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