https://file.aiquickdraw.com/mathbot/file/1726747037830qpe3fkdv.jpg

The function in the image is given as:

\[
F(x) = \frac{-2x + 4}{3}
\]

This is a linear function, as it can be written in the slope-intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Here, the function can be simplified as:

\[
F(x) = -\frac{2}{3}x + \frac{4}{3}
\]

- The slope of the line is \(-\frac{2}{3}\).
- The y-intercept is \(\frac{4}{3}\).

Would you like further details on graphing this function or solving related problems? 

Here are some related questions you might want to explore:
1. How do you find the x-intercept of this function?
2. How can you graph this function step by step?
3. What is the domain and range of this function?
4. How would the graph change if the slope were positive?
5. What is the interpretation of the slope in real-world contexts?

**Tip**: The slope tells you how steep a line is; a negative slope indicates the line is decreasing.

Explore the linear function F(x) = (-2x + 4) / 3. Learn how to express it in slope-intercept form, identify the slope and y-intercept, and understand the line's behavior. Perfect for students in Grades 8-10.

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