Question

Question was provided via image upload.

Explanation:

These are fill-in-the-blank exercises about using positive/negative numbers and coordinate plane distances. The standard correct terms for the blanks are based on the context of rational number applications and coordinate geometry:

1. Positive/negative numbers represent quantities in context.
2. We use them for comparison to analyze situations.
3. We need to define when a quantity is positive or negative.
4. Points on a horizontal line use x-coordinates for distance.
5. Points on a vertical line use y-coordinates for distance.
6. Distance is independent of subtraction order.

Answer:

1. quantities
2. comparison
3. positive; negative
4. horizontal
5. vertical
6. independent