Suppose \displaystyle is a continuous function where f(9)=7\displaystyle {f{{\left({9}\right)}}}={7} and f(9)=6\displaystyle {f}'{\left({9}\right)}={6}.

The tangent line to the graph of y=f(x)\displaystyle {y}={f{{\left({x}\right)}}} at x=9\displaystyle {x}={9} will intersect the x-axis at x=\displaystyle {x}=