Final answer:
Options A, B, C, and D all mathematically result in -10, but they represent different arithmetic processes. With commutative property, both A and B are equivalent, while C and D involve taking the negative of a positive sum.
Step-by-step explanation:
To determine which problem is being modeled on the number line, let's review how addition and subtraction work with positive and negative numbers. When adding two negative numbers, the answer will have a negative sign. For instance, adding -6 and -4 gives us -10, which aligns with options A and B. However, the order of addition does not affect the result due to the commutative property of addition, so both A and B are correct mathematically but represent the same equation. Options C and D involve a different operation: first adding the numbers 4 and 6 to get 10 and then taking the negative of the result, which also gives us -10. So, without the number line visual, all options technically model the same result, -10, but represent different arithmetic processes.