select the number line model that matches the expression |-2 - 7|. choose 1 answer:

Answer:

First, simplify (|-2 - 7|): [|-2 - 7|=|-9| = 9] This represents the distance between - 9 and 0 on the number - line. Looking at the number - line models:

• Option A: The distance shown is from - 2 to 8, which is (|8-(-2)|=10).
• Option B: The distance shown is from 2 to 8, which is (|8 - 2|=6).
• Option C: The distance shown is from - 6 to 4, which is (|4-(-6)| = 10).
• Option D: The distance shown is from - 9 to 0, which is (|0-(-9)|=9).

So the answer is D.