You have provided a set of points \(\{(-4, 5), (8, 7), (4, 6), (1, 8)\}\) and the function \(F(x) = 8\). It seems like you are either asking for specific information about these points or how they relate to the function \(F(x)\). Let's go over a few possible interpretations:

1. **Check if the points lie on the graph of \(F(x) = 8\):**
   The function \(F(x) = 8\) represents a horizontal line at \(y = 8\). For each point to lie on this line, the \(y\)-coordinate must be 8. Let’s check the points:

   - \((-4, 5)\): \(y = 5\) (not on the line)
   - \((8, 7)\): \(y = 7\) (not on the line)
   - \((4, 6)\): \(y = 6\) (not on the line)
   - \((1, 8)\): \(y = 8\) (on the line)

   **Conclusion**: Only the point \((1, 8)\) lies on the line \(F(x) = 8\).

2. **Plotting the points and the function**:
   If you were to plot the points and the horizontal line \(y = 8\), you would see that all points except \((1, 8)\) are below the line.

Do you need further clarification or details on this? If so, feel free to ask!

### Follow-up questions:
1. Would you like to see the graph of these points and the function \(F(x) = 8\)?
2. Do you want to check whether these points satisfy a different linear equation?
3. Are you looking to find the equation of a line passing through any two of these points?
4. Would you like to calculate the distances between some of these points?
5. Do you need help with any other function or relation between the points?

**Tip**: When dealing with points and functions, it's always a good idea to graph them to visualize relationships and better understand how they relate to each other.

The query submitted by the user: {(-4, 5), (8, 7), (4, 6), (1, 8)} F(x) = 8

Learn how to check if the points {(-4, 5), (8, 7), (4, 6), (1, 8)} lie on the line F(x) = 8. This problem focuses on understanding horizontal lines in coordinate geometry and determining whether specific points satisfy the equation of the line. Suitable for students in Grades 8-10.

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