To determine which number line correctly plots the integers -6, -2, and 5, let's examine and explain each given number line in detail.
Number Line 1:
```
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
```
This number line ranges from -6 to 6 with all integer points labeled.
1. -6 is marked on the left end of the number line.
2. -2 is marked between -3 and -1.
3. 5 is marked near the right end of the number line.
This number line includes all the integers -6, -2, and 5 correctly.
Number Line 2:
```
-6 -5 -4 -3 -2 -1 0 2 3 4 5 6
```
This number line ranges from -6 to 6 but skips the integer 1.
1. -6 is marked on the left end of the number line.
2. -2 is marked between -3 and -1.
3. 5 is marked near the right end of the number line.
However, this number line skips the integer 1, which makes it incomplete for a proper sequence of integers.
Number Line 3:
```
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
```
This number line ranges from -6 to 6 with all integer points labeled, identical to the first number line.
1. -6 is marked on the left end of the number line.
2. -2 is marked between -3 and -1.
3. 5 is marked near the right end of the number line.
This number line again includes all the integers -6, -2, and 5 correctly.
Number Line 4:
```
6 5 4 3 2 1 0 1 2 3 4 5 6
```
This number line appears to be incorrect as it starts from 6 and goes down to 0 and then back up to 6. This makes it not useful for plotting our given points correctly.
To summarize, both Number Line 1 and Number Line 3 correctly plot the integers -6, -2, and 5. Any of these would be acceptable choices. However, the formatting and structure imply we select one, so either one could be marked as correct. Here's a detailed explanation for Number Line 3 for clarification:
- Number Line 3 correctly starts from -6 and goes to 6, including every integer in between.
- Ensuring that it covers negative integers up to -6, zero, and positive integers up to 6 without skipping any.
Thus, the number line that correctly plots the integers -6, -2, and 5 is:
```
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
```
