The function \( f(x) = -9x - 10 \) is a linear function in the form \( f(x) = mx + b \), where:

- \( m = -9 \) is the slope, which indicates the steepness and direction of the line. Since \( m \) is negative, the line slopes downward from left to right.
- \( b = -10 \) is the y-intercept, the point where the line crosses the y-axis (when \( x = 0 \)).

### Key Points:
1. **Slope**: The slope \( -9 \) means that for every 1 unit increase in \( x \), \( f(x) \) decreases by 9 units.
2. **Y-Intercept**: The y-intercept is -10, so the point \( (0, -10) \) is on the line.
3. **Graph**: This function will produce a straight line, passing through \( (0, -10) \) and having a negative slope.
4. **Range**: Since this is a linear function, the range is all real numbers \( (-\infty, \infty) \).
5. **Domain**: The domain of \( f(x) \) is also all real numbers \( (-\infty, \infty) \).

Would you like details on graphing, interpreting slope and intercepts, or anything else?

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### Related Questions:
1. How do you find the x-intercept of the function \( f(x) = -9x - 10 \)?
2. What are the steps to plot the function \( f(x) = -9x - 10 \) on a coordinate plane?
3. How does changing the slope to a positive value affect the graph of \( f(x) \)?
4. What is the equation of a line parallel to \( f(x) = -9x - 10 \)?
5. How can you determine if two linear functions are perpendicular?

**Tip:** For any linear equation \( y = mx + b \), the slope \( m \) determines the angle and direction of the line. A larger absolute value of \( m \) means a steeper slope.

Explore the linear function f(x) = -9x - 10, covering key algebraic concepts including slope, y-intercept, and the properties of linear functions. Suitable for students in Grades 8-10.

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