The problem asks us to plot $-2$ and $-8$ on the given number line. Then, we need to find the distance between $-2$ and $-8$.

1. Problem Description

The problem asks us to plot $-2$ and $-8$ on the given number line. Then, we need to find the distance between $-2$ and $-8$.

2. Solution Steps

First, we need to identify the positions of $-2$ and $-8$ on the number line.

We can calculate the distance between two numbers on a number line by taking the absolute value of their difference.

Let $a$ and $b$ be two numbers. The distance between $a$ and $b$ is given by $|a - b|$.

In this case, we want to find the distance between $-2$ and $-8$. So, $a = -2$ and $b = -8$.

Distance $= |-2 - (-8)| = |-2 + 8| = |6| = 6$.

Alternatively, we can compute the distance as $|-8 - (-2)| = |-8 + 2| = |-6| = 6$.

3. Final Answer

The distance between $-2$ and $-8$ is 6.