https://file.aiquickdraw.com/mathbot/file/17290247264182kntrg7u.jpg

To solve this problem, we need to identify which of the rational numbers listed are plotted on the vertical number line in the image.

### Analysis of the Vertical Number Line:
The number line has dots at the following values:
- \( -3 \)
- \( -1 \)
- \( 0 \)
- \( 0.6 \)
- \( 1 \)
- \( 2 \)

### Options Provided:
Let's check each option to see if they match the values on the number line:

1. **\(-3\)** - There is a dot at \(-3\) on the number line. ✔️
2. **\(\frac{16}{5}\)** - This equals \(3.2\), which is not plotted on the number line. ❌
3. **\(\frac{4}{5}\)** - This equals \(0.8\), which is not plotted on the number line. ❌
4. **\(-2.75\)** - This is approximately \(-2\frac{3}{4}\), which is not on the number line. ❌
5. **\(-2\frac{1}{3}\)** - This equals approximately \(-2.333\), not on the number line. ❌
6. **\(2\)** - There is a dot at \(2\) on the number line. ✔️
7. **\(\frac{17}{4}\)** - This equals \(4.25\), which is not on the number line. ❌
8. **\(0.6\)** - There is a dot at \(0.6\) on the number line. ✔️

### Conclusion:
The correct rational numbers that are plotted on the vertical number line are:
- \(-3\)
- \(2\)
- \(0.6\)

Would you like more details or have any questions?

### Related Questions:
1. What makes a number rational?
2. How do you convert a fraction to a decimal?
3. Can you have irrational numbers on a number line?
4. How do you plot decimals and fractions on a number line?
5. Why are some rational numbers not on the number line shown?

### Tip:
To determine if a number is rational, check if it can be expressed as a fraction where both the numerator and denominator are integers, and the denominator is not zero.

Identify the rational numbers that are plotted on the vertical number line.

Learn how to identify rational numbers such as -3, 0.6, and 2 on a vertical number line. This problem helps students in Grades 6-8 understand the placement of decimals and fractions on a number line.

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