The equation of the line is given as:

$y = -10x + \frac{1}{9}$

The y-intercept is the value of $y$ when $x = 0$. Substituting $x = 0$ into the equation:

$y = -10(0) + \frac{1}{9} = \frac{1}{9}$

Thus, the y-intercept is:

$\frac{1}{9}$

Would you like more details on how y-intercepts are determined?

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Here are 5 related questions for further practice:

1. Find the y-intercept of $y = 5x - 7$.
2. What is the slope of the line $y = -10x + \frac{1}{9}$?
3. Write the equation of a line with a slope of -3 and a y-intercept of 4.
4. Find the x-intercept of $y = -10x + \frac{1}{9}$.
5. Determine if the line $y = -10x + \frac{1}{9}$ is increasing or decreasing.

Tip: The y-intercept is always where the line crosses the y-axis, which occurs when $x = 0$.