Final answer:
To find the number line model for |-2-7|, we first calculate the value inside the absolute value, giving us |-9|, which equals 9. This is represented on a number line as a point 9 units to the right of 0.
Step-by-step explanation:
The question asks us to determine the number line model for the expression |-2-7|. To solve the absolute value expression |-2-7|, we first need to perform the subtraction inside the absolute value, which gives us |-9|. The absolute value of -9 is 9 since absolute value measures the distance from zero on the number line regardless of direction.
On a number line, this would be represented by a point at 9 units to the right of 0. If we have a number line with negative numbers on the left and positive numbers on the right, the point corresponding to 9 would be located between 5 and 10, closer to 10 but not exactly at it.