The formula for the slope is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute the values in the formula to obtain the value of x.
[tex]\begin{gathered} -\frac{1}{3}=\frac{6-4}{x-9} \\ -1(x-9)=3\cdot2 \\ -x+9=6 \\ -x=6-9 \\ x=3 \end{gathered}[/tex]Thus value of x is 3.