On solving the provided question we can say that, the answer of the following number line will be [tex]=|x-y| or |y-x|[/tex][tex]=|3-(-4)| or |-4-3|[/tex]
A number line is a visual representation of real numbers in elementary mathematics. It is an image of a magnitude line. On the number line, each point represents a real number, and each real number is taken to represent a point. A number line in mathematics is a horizontal straight line with numbers uniformly spaced apart. A number line can show how all the numbers in a series are represented. Both endpoints of this line continue indefinitely.
On the number line, the two points are
[tex]x = -4\\ y=3[/tex]
The distance is a quantity that is positive.
As a result, the distance between x and y may be expressed as:
[tex]=|x-y| or |y-x|\\ =|3-(-4)| or |-4-3|\\ =|3+4| or |-7|\\ =|7| or |-7|[/tex]
The sentence will read:
[tex]=|x-y| or |y-x|[/tex]
[tex]=|3-(-4)| or |-4-3|[/tex]
To know more about number line visit:
https://brainly.com/question/13425491
#SPJ4