If f(x)=2x27x+4\displaystyle {f{{\left({x}\right)}}}={2}{x}^{{2}}-{7}{x}+{4}, find f(2)\displaystyle {f}'{\left({2}\right)}.  

Use this to find the equation of the tangent line to the parabola y=2x27x+4\displaystyle {y}={2}{x}^{{2}}-{7}{x}+{4} at the point (2,2)\displaystyle {\left({2},-{2}\right)}. The equation of this tangent line can be written in the form y=mx+b\displaystyle {y}={m}{x}+{b} where m\displaystyle {m} is:  

and where b\displaystyle {b} is: