Given f(x)=55x\displaystyle {f{{\left({x}\right)}}}=\frac{{55}}{{x}} find:

(a)  the slope of the line tangent to the graph of f(x)\displaystyle {f{{\left({x}\right)}}} at  x=9\displaystyle {x}=-{9} is  

(b)  the equation of the line tangent to the graph of f(x)\displaystyle {f{{\left({x}\right)}}} at x=9\displaystyle {x}=-{9} is y=\displaystyle {y}=