https://file.aiquickdraw.com/mathbot/file/17273018236718riqa3s1.jpg

To solve the problem in the image, we need to find the slope and y-intercept of the given line equation:

\[
y = -9x - 10
\]

This equation is already in slope-intercept form, \(y = mx + b\), where:
- \(m\) is the slope,
- \(b\) is the y-intercept (the y-coordinate when \(x = 0\)).

### From the equation \(y = -9x - 10\):
- The slope \(m\) is the coefficient of \(x\), which is \(-9\).
- The y-intercept \(b\) is the constant term, which is \(-10\). So the y-intercept in coordinate form is \((0, -10)\).

### Therefore:
- **Slope**: \(-9\)
- **y-intercept**: \((0, -10)\)

Would you like more details on how these values were derived or any further explanation? 

Here are 5 related questions to explore further:
1. How do you find the x-intercept of the same line?
2. What is the slope of a line parallel to this one?
3. How would the equation change if the line was shifted 5 units upwards?
4. Can you write the equation of a line perpendicular to this one?
5. What happens to the y-intercept if the slope becomes positive?

**Tip**: The slope tells us how steep a line is, and a negative slope means the line is decreasing (falling from left to right).

Give the slope and the y-intercept of the line y = -9x - 10. Make sure the y-intercept is written as a coordinate.

Learn how to find the slope and y-intercept of the linear equation y = -9x - 10. This problem focuses on key algebraic concepts, including the slope-intercept form and how to identify the slope and y-intercept. Suitable for students in Grades 7-9.

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