Answer:
(5,-3)
Step-by-step explanation:
Given that,
The coordinates of Q = (3,1)
The midpoint of QR = (4,-1)
We need to find the coordinates of point R.
We know that, according to mid-point theorem,
[tex](x_m,y_m)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
Let (x₂,y₂) be the coordinates of point R.
So,
[tex](4,-1)=(\dfrac{3+x_2}{2},\dfrac{1+y_2}{2})\\\\\dfrac{3+x_2}{2}=4\ and\ \dfrac{1+y_2}{2}=-1\\\\3+x_2=8\ and\ y_2+1=-2\\\\x_2=5\ and\ y_2=-3[/tex]
So, the coordinates of point R is (5,-3).
