A line equation can be written in slope intercept-form, which is
[tex]y=mx+b[/tex]Where m represents the slope and b the y-intercept.
If we compare our line equation
[tex]y=\frac{1}{9}x+1[/tex]with the slope-intercept form, we have the following correspondence
[tex]m=\frac{1}{9},b=1[/tex]Therefore, the slope of the given line is 1/9.
