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,-(1)/(2))`.

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)=((a+c)/(2),(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 :-

`((1+7)/(2),(-6+5)/(2))\\\\=((8)/(2),(-1)/(2))\\\\=(4,-(1)/(2))`

Hence, the coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are
`(4,-(1)/(2))`.