Find the y-intercept of the line y=
–
10x+
1
9
.
Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

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 \( x = 0 \).

Find the y-intercept of the line y = -10x + 1/9. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Learn how to find the y-intercept of the line y = -10x + 1/9 with a detailed step-by-step solution. This problem involves key algebraic concepts, such as linear equations and the slope-intercept form, and is suitable for students in Grades 8-10.

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