Find the midpoint of ST given ????(−2, 8) and T(10, −4).

Question

asked Nov 5, 2021 186k views

1 Answer

Cfrag · Answer 1 · 2021-11-10T09:57:07+0000

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

Explanation:

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

(x,y)=((a+c)/(2), (b+d)/(2))

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

(x,y)=((-2+10)/(2), (8+(-4))/(2))

$\Rightarrow\ (x,y)=((8)/(2), (8-4)/(2))$ [∵ (-)(+)=(-)]

$\Rightarrow\ (x,y)=(4, (4)/(2))$

$\Rightarrow\ (x,y)=(4, 2)$

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