Find the midpoint of st given −2, 8) and t(10, −4).

The midpoint of the line ST is (4,2) .

Step-by-step explanation:

The midpoint (x,y) of any line joining (a,b) and (c,d) is given by :-

The given coordinate-points : S= (−2, 8) and T=(10, −4)

Let (x,y) be the midpoint of the line ST.

Then , the midpoint of the line ST would be  

 [∵ (-)(+)=(-)]

Hence, the midpoint of the line ST = (4,2)