Question

brook states that the distance on the line is 4 units. caleb states that the whole line does not have a distance because it continues on forever. vivian states that the line is 6 units long.

which distance did brook measure?
which distance did vivian measure?

Explanation:

Step1: Identify coordinates of points

Point L: -6, Point M: -2, Point N: 4.

Step2: Calculate distances between pairs

Distance LM: $|-2 - (-6)| = 4$; Distance MN: $|4 - (-2)| = 6$; Distance LN: $|4 - (-6)| = 10$.

Step3: Match Brook's measurement

Brook's 4 units = LM.

Step4: Match Vivian's measurement

Vivian's 6 units = MN.

Answer:

Brook measured the distance between L and M.
Vivian measured the distance between M and N.