https://file.aiquickdraw.com/mathbot/file/17263660619576nweknsn.jpg

In the image, the task is to find the distance between points \(A\) and \(C\) on the number line.

From the number line:
- \(A\) is located at \(-8\)
- \(C\) is located at \(4\)

To find the distance between two points on a number line, we use the formula:
\[
\text{Distance} = |C - A|
\]

Substituting the values:
\[
\text{Distance} = |4 - (-8)| = |4 + 8| = |12| = 12
\]

Therefore, the distance \(AC\) is 12 units.

Would you like more details or have any other questions?

Here are five related questions:
1. How would you calculate the distance between points \(B\) and \(D\)?
2. Can you explain why the absolute value is used when finding distances?
3. What is the distance from \(A\) to \(B\)?
4. How would you represent the distance between any two points \(X\) and \(Y\) algebraically?
5. What are some real-life applications of finding distances on a number line?

**Tip:** Always double-check whether both points are positive or negative, as that affects the distance calculation.

Find the distance between points A and C on the number line.

Learn how to find the distance between two points on a number line using the absolute value formula. In this problem, the points A and C are located at -8 and 4, respectively, and the distance is calculated as 12 units.

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