To find the y-intercept of the function $f(x) = -\frac{2}{9}x + \frac{1}{3}$, we need to evaluate the function when $x = 0$.

The y-intercept is the point where the graph intersects the y-axis, which happens when $x = 0$.

1. Substitute $x = 0$ into the equation: $f(0) = -\frac{2}{9}(0) + \frac{1}{3} = \frac{1}{3}$

Thus, the y-intercept is $\frac{1}{3}$.

The correct answer is: $\frac{1}{3}$.

Would you like a further explanation, or do you have any questions?

Here are 5 related questions:

1. How do you find the slope from a linear function?
2. What is the significance of the y-intercept in graphing?
3. How would you graph $f(x) = -\frac{2}{9}x + \frac{1}{3}$?
4. Can a function have more than one y-intercept?
5. How does the slope affect the steepness of a line?

Tip: The general form of a linear equation is $y = mx + b$, where $b$ is the y-intercept and $m$ is the slope.