Brooke states at the distance on the line is four units. Caleb states that the whole line does not have a distance because it continues on forever. Vivian said that the line is six units long

distance between L and M

Step-by-step explanation:

The question is given is the image in the image attached.

A number line is shows the representation of numbers on a line, it is used to perform arithmetic operations lie subtraction, addition.

The distance between two points A and B on a number line is given by the formula:

Distance = |A - B|

On the number line the points L is at -6, M is at -2 and N is at 4. Hence

Distance between L and M = |M - L| = |-2 - (-6)| = | -2 + 6| = |4| = 4 unit

Distance between M and N = |N - M| = |4 - (-2)| = | 4 + 2| = |6| = 6 unit

Distance between L and N = |N - L| = |4 - (-6)| = | 4 + 6| = |10| = 10 unit

Brooke measured the distance between L and M which is 4 units