https://file.aiquickdraw.com/mathbot/file/1729066160150ah9mj0qb.jpg

The function provided in the image is:

\[
f(x) = -3x + 5
\]

This is a linear function, which can be expressed in the form \( f(x) = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

For this function:
- The slope (\( m \)) is \(-3\), which means the line decreases as \( x \) increases (a downward slope).
- The y-intercept (\( b \)) is \(5\), indicating that the line crosses the y-axis at the point \( (0, 5) \).

Would you like to see a graph of this function, or do you have any specific questions about it?

Here are 5 related questions to explore further:
1. What is the x-intercept of the function \( f(x) = -3x + 5 \)?
2. How do we find the slope of a linear function from its equation?
3. What happens to the graph of \( f(x) \) if the slope changes from \(-3\) to \(2\)?
4. How would the graph look if the y-intercept changes to \( -2 \)?
5. How can this linear function be used to solve real-world problems?

**Tip:** The slope in a linear equation tells you how much the output (y-value) changes for a unit increase in the input (x-value).

Explore the linear function f(x) = -3x + 5 with detailed insights into its slope and y-intercept. This algebraic function is suitable for Grades 8-10 students and covers key concepts like linear equations, slope, and intercepts.

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