Point L is on line segment start overline, K, M, end overline 
KM
 . Given L, M, equals, 10LM=10 and K, L, equals, 4, commaKL=4, determine the length start overline, K, M, end overline, . 
KM
 .

We are given that:

- \( KL = 4 \)
- \( LM = 10 \)

We need to find the total length of \( KM \).

Since point \( L \) lies on line segment \( KM \), the total length of \( KM \) is the sum of \( KL \) and \( LM \). 

\[
KM = KL + LM = 4 + 10 = 14
\]

Thus, the length of \( KM \) is \( 14 \).

Would you like more details, or do you have any other questions?

Here are 5 related questions to expand on this:

1. How do we calculate the midpoint of a line segment like \( KM \)?
2. If \( L \) is the midpoint of \( KM \), what are the lengths of \( KL \) and \( LM \)?
3. How would we calculate the distance between points \( K \) and \( M \) using their coordinates?
4. What if \( L \) were not on the segment \( KM \) but elsewhere; how would that change the solution?
5. How can the length of a line segment change in different coordinate planes?

**Tip:** When a point divides a line segment into two parts, the sum of the two parts always equals the total length of the segment.

Point L is on line segment KM. Given LM = 10 and KL = 4, determine the length of KM.

This solution explains how to find the total length of line segment KM when given the lengths of KL and LM. It involves applying the segment addition postulate, ideal for students in Grades 6-8.

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