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.