Find the equation of the vertical asymptote and the equation of the slant asymptote of the rational function.
$\displaystyle {f{{\left({x}\right)}}}=\frac{{{3}{x}^{{2}}-{22}{x}+{4}}}{{{x}-{7}}}$

The equation of the vertical asymptote is $\displaystyle {x}=$ Preview Question 6 Part 1 of 2  
The equation of the slant asymptote is $\displaystyle {y}=$ Preview Question 6 Part 2 of 2