Answer: The coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are [tex](4,-\dfrac{1}{2})[/tex].
Step-by-step explanation:
We know that the coordinates of the midpoint(x,y) of line joining A(a,b) and B(c,d) is given by :-
[tex](x,y)=(\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex] .....(i)
Given : The coordinates of endpoints of CM are C(1, -6) and M(7,5)
Then , by using (i) , the coordinates of the midpoint of CM would be :-
[tex](\dfrac{1+7}{2},\dfrac{-6+5}{2})\\\\=(\dfrac{8}{2},\dfrac{-1}{2})\\\\=(4,-\dfrac{1}{2})[/tex]
Hence, the coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are [tex](4,-\dfrac{1}{2})[/tex].
