we have
[tex]f(x)=-\frac{2}{9}x+\frac{1}{3}[/tex]
we know that
the y-intercept of the function is the value of the function f(x) when the value of x is equal to zero
so
For [tex]x=0[/tex]
[tex]f(0)=-\frac{2}{9}*0+\frac{1}{3}[/tex]
[tex]f(0)=\frac{1}{3}[/tex]
The y-intercept is the point [tex](0,\frac{1}{3})[/tex]
therefore
the answer is
The y-intercept is [tex]\frac{1}{3}[/tex]
