Point A is located at negative 4 over 6 and point B is located at negative 1 over 6. What is the distance between points A and B?
![Point A is located at negative 4 over 6 and point B is located at negative 1 over 6 What is the distance between points A and B class=](https://us-static.z-dn.net/files/da4/763a282a63ba44991dcc974aa8a0cb47.png)
Answer:
Option B is the correct choice.
Step-by-step explanation:
We have been given that point A is located at [tex]-\frac{4}{6}[/tex] and point B is located at [tex]-\frac{1}{6}[/tex]. We are asked to find the distance between A and B.
We know that distance between two negative points on a number line is absolute value of their difference.
[tex]\text{Distance between A and B}=|-\frac{4}{6}-(-\frac{1}{6})|[/tex]
[tex]\text{Distance between A and B}=|-\frac{4}{6}+\frac{1}{6}|[/tex]
[tex]\text{Distance between A and B}=|\frac{-4+1}{6}|[/tex]
[tex]\text{Distance between A and B}=|\frac{-3}{6}|[/tex]
[tex]\text{Distance between A and B}=\frac{3}{6}[/tex]
Therefore, the distance between A and B is [tex]\frac{3}{6}[/tex] units and option B is the correct choice.