Question

determining a distance
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.
number line with points l, m, n at -6, -2, 4
which distance did brook measure?
which distance did vivian measure?

Explanation:

Step1: Identify coordinates of points

Point \( L \) is at \( -6 \), \( M \) at \( -2 \), \( N \) at \( 4 \).

Step2: Calculate distance for Brook (4 units)

Check distances: \( | -2 - (-6)| = 4 \) (distance \( LM \)), \( |4 - (-2)| = 6 \), \( |4 - (-6)| = 10 \). So Brook measured \( LM \).

Step3: Calculate distance for Vivian (6 units)

From step2, \( |4 - (-2)| = 6 \) (distance \( MN \)). So Vivian measured \( MN \).

Answer:

Brook measured the distance between \( L \) and \( M \) (or \( LM \)).
Vivian measured the distance between \( M \) and \( N \) (or \( MN \)).