Determine the equation of the vertical asymptote and the equation of the slant asymptote of the rational function.
f(x)=9x26x+163x+4\displaystyle {f{{\left({x}\right)}}}=\frac{{-{9}{x}^{{2}}-{6}{x}+{16}}}{{{3}{x}+{4}}}

The equation of the vertical asymptote is   
The equation of the slant asymptote is