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.
image of number line with l at -6, m at -2, n at 4
which distance did brook measure?
the distance between l and m
the distance between l and n
the distance between m and n

Explanation:

Step1: Find coordinates of points

From the number line, \( L \) is at \(-6\), \( M \) is at \(-2\), \( N \) is at \( 4 \).

Step2: Calculate distance between L and M

Distance formula: \( |x_2 - x_1| \). For \( L(-6) \) and \( M(-2) \): \( |-2 - (-6)| = |4| = 4 \).

Step3: Calculate distance between L and N

For \( L(-6) \) and \( N(4) \): \( |4 - (-6)| = |10| = 10 \).

Step4: Calculate distance between M and N

For \( M(-2) \) and \( N(4) \): \( |4 - (-2)| = |6| = 6 \).

Brook's distance is 4, so it's between L and M.

Answer:

the distance between L and M