Answer
slope$=5$
See graph.
Work Step by Step
1. Find the derivative of $f(x)=2x^2+x$ as $f'(x)=4x+1$.
2. The slope of the tangent line is the same as the derivative at $x=1$, we have $m=4(1)+1=5$
3. The tangent line is $y-3=5(x-1)$ or $y=5x-2$
4. See graph.