Final answer:
The absolute value of x when x is -7 is 7, since absolute value represents the distance from zero, which is always positive. Therefore, the correct number line is the one with |x| = 7.
Step-by-step explanation:
If x = -7, we are looking for the number line that shows the value |x|, which is the absolute value of x. The absolute value of a number is its distance from zero on the number line, regardless of the direction. Distance is always positive, so the absolute value of x in this case would be positive 7. Therefore, the correct answer would be a number line that shows |x| = 7.
So the correct option is:
A. Number line with |x| = 7