Answer :

Step-by-step explanation:

To find the length of the line segment joining -6 and -10 on the number line, we calculate the absolute difference between these two points.

The points -6 and -10 are positions on the number line. The length of the line segment between them is:

\[ |-10 - (-6)| \]

Simplify the subtraction inside the absolute value:

\[ |-10 + 6| \]

\[ |-4| \]

Since the absolute value of -4 is 4, the length of the line segment joining -6 and -10 is \( \boxed{4} \).

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