To find the length of a segment on a number line given its endpoints, we need to calculate the absolute difference between these endpoints.
1. Identify the given endpoints:
- The first endpoint is at [tex]\(-13.6\)[/tex].
- The second endpoint is at [tex]\(-6.2\)[/tex].
2. Calculate the difference between the endpoints:
- Subtract the smaller endpoint ([tex]\(-13.6\)[/tex]) from the larger endpoint ([tex]\(-6.2\)[/tex]) to find the interval's length:
[tex]\[
-6.2 - (-13.6) = -6.2 + 13.6 = 7.4
\][/tex]
3. The length of the segment is the absolute value of this difference:
[tex]\[
\lvert 7.4 \rvert = 7.4
\][/tex]
So, the length of the segment on the number line is [tex]\(7.4\)[/tex]. Therefore, the correct answer is:
[tex]\[
\boxed{7.4}
\][/tex]
