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To find the midpoint of the segment \(\overline{AF}\) on the number line, we first need to locate the coordinates of points \(A\) and \(F\):

- \(A\) is at \(-10\),
- \(F\) is at \(4\).

The midpoint formula for two points \(x_1\) and \(x_2\) is:

\[
\text{Midpoint} = \frac{x_1 + x_2}{2}
\]

Substituting the values for \(A\) and \(F\):

\[
\text{Midpoint} = \frac{-10 + 4}{2} = \frac{-6}{2} = -3
\]

Thus, the coordinate of the midpoint of \(\overline{AF}\) is \(-3\).

Would you like further details or explanations? Here are some related questions to consider:

1. How do you find the midpoint of two points in a coordinate plane?
2. What would the midpoint be if \(A\) were at a different location?
3. How does the midpoint formula relate to the average of two numbers?
4. Can you find the midpoint of two points if only one coordinate is known?
5. How would you explain the midpoint formula geometrically on a number line?

**Tip**: The midpoint is always the average of the two points' coordinates, making it a useful tool for symmetry or balancing problems.

Use the number line to find the coordinate of the midpoint of AF.

Learn how to find the midpoint of the segment AF using the number line. In this problem, point A is at -10, and point F is at 4. The midpoint formula is used to determine the midpoint of the line segment. Suitable for students in Grades 6-8.

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