Given the point slope form an equation below
[tex]y=\frac{1}{11}x[/tex]If the name of the function is f, the function will be written in slope intercept form as
[tex]\begin{gathered} y=mx+c\Rightarrow\text{slope intercept form} \\ \text{if the function is f},\text{ then} \\ f(x)=\frac{1}{11}x+0 \end{gathered}[/tex]Hence, the slope-intercept form of the equation written in function notation is
[tex]f(x)=\frac{1}{11}x+0[/tex]