Determine the equation of the vertical asymptote and the equation of the slant asymptote of the rational function.

f(x)=5x235x+27x6\displaystyle {f{{\left({x}\right)}}}=\frac{{{5}{x}^{{2}}-{35}{x}+{27}}}{{{x}-{6}}}

The equation of the vertical asymptote is   

The equation of the slant asymptote is