When comparing two negative integers, how can you determine which integers is the greatest number

That depends on what kind of numbers you have.

Step-by-step explanation:

When you are comparing two negative integers, for example, - 9 and - 15 you can tell how far the units are on the number line placement.

On the number line, - 9 is greater than - 15 even though 15 is greater than 9 on the positive side of the number line because - 9 is farther to the right of the number line and is much closer to the positive area.