1. Problem statement: Evaluate $y$ for the linear function $y = -\frac{1}{3}x - \frac{2}{5}$ at $x = 0$, and describe the graph. 2. Substitute $x = 0$ into the formula to get $y = -\frac{1}{3}\cdot 0 - \frac{2}{5}$. 3. Compute the product $-\frac{1}{3}\cdot 0 = 0$. 4. Simplify the expression to obtain $y = 0 - \frac{2}{5} = -\frac{2}{5}$. 5. Final answer: When $x = 0$, $y = -\frac{2}{5}$. 6. Graph description: This is a straight line with slope $-\frac{1}{3}$ and y-intercept $-\frac{2}{5}$, so it passes through the point with x = 0 and y = -\frac{2}{5}$ and decreases by 1 unit in y for every increase of 3 units in x to the right.