Answer:
The point R halfway between the integers on the number line is -5.5
Step-by-step explanation:
Topic: Number Line Representation
Given;
2 integers whose values are -6 and -5
Point R which is half way between the two digits
Let x represent -6
Let y represent -5
So, x = -6
and y = -5
To get point R, we have to calculate the mean or average of these two integers.
Mean is calculated using the following formula
[tex]Mean = \frac{(x_{1} + x_{2} + x_{3} + ..... + x_{n})}{n}[/tex]
Where n is the number of variables
In this case, n = 2.
So,
[tex]Mean = \frac{x_{1} + x_{2}}{2}[/tex]
Where [tex]x_{1} and x_{2}[/tex] are the first and second data.
So, we can say that
[tex]R = \frac{x + y}{2}[/tex]
By Substitution
[tex]R = \frac{-5 + (-6)}{2}[/tex]
[tex]R = \frac{-5 -6}{2}[/tex]
[tex]R = \frac{-11}{2}[/tex]
[tex]R = -5.5[/tex]
Hence, the point R halfway between the integers on the number line is -5.5
