Answer: Midpoint of the segment between the two points= [tex](\dfrac{a+b}{2},c)[/tex]
Distance between points =[tex]b-a[/tex] units
Step-by-step explanation:
Mid-point formula : [tex](\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
Distance formula : [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given: Two points are located at (a,c) and (b,c).
Midpoint of the segment between the two points = [tex](\dfrac{a+b}{2},\dfrac{c+c}{2})[/tex]
[tex]=(\dfrac{a+b}{2},\dfrac{2c}{2})\\\\=(\dfrac{a+b}{2},c)[/tex]
Distance between points = [tex]\sqrt{(b-a)^2+(c-c)^2}=\sqrt{(b-a)^2+(0)^2}[/tex]
[tex]=\sqrt{(b-a)^2}=b-a[/tex] units
