https://file.aiquickdraw.com/mathbot/file/1726495642577xsdg85v8.jpg

The equation given in the image is \( y = -\frac{15}{8}x + 9 \). This is in the slope-intercept form, which is written as:

\[
y = mx + b
\]

where:
- \( m \) is the slope of the line, and
- \( b \) is the y-intercept.

In this case, \( b = 9 \), so the y-intercept is 9.

Since the problem asks for the y-intercept as an integer or fraction, the answer is:

\[
\boxed{9}
\]

Would you like further details on this topic or have any additional questions?

Here are 5 follow-up questions related to this problem:
1. How do you determine the slope of a line from an equation?
2. What is the meaning of the y-intercept in a real-world context?
3. Can a line have a fractional y-intercept, and if so, how would it be interpreted?
4. What happens to the y-intercept if the equation is rearranged in a different form?
5. How do you find the x-intercept of a line from its equation?

**Tip**: The y-intercept is always the value of \( y \) when \( x = 0 \). In slope-intercept form, it's the constant term!

Find the y-intercept of the line y = -15/8x + 9. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

This problem focuses on determining the y-intercept of the linear equation y = -15/8x + 9. Learn how to identify the y-intercept using the slope-intercept form. Suitable for students in Grades 7-9.

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