Question

Find the coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5).

Answer 1

Answer: The coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are $(4,-\dfrac{1}{2})$.

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 :-

$(x,y)=(\dfrac{a+c}{2},\dfrac{b+d}{2})$  .....(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 :-

$(\dfrac{1+7}{2},\dfrac{-6+5}{2})\\\\=(\dfrac{8}{2},\dfrac{-1}{2})\\\\=(4,-\dfrac{1}{2})$

Hence,  the coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are $(4,-\dfrac{1}{2})$.