Answer:
The coordinates of R is (-3,8)
Step-by-step explanation:
The formula for the midpoint of a line segment is;
(x,y) = (x1 + x2)/2, (y1 + y2)/2
In this case, we have (x,y) = (4,3)
and we also have (x1,y1) = (11,-2)
what we do not have is (x2,y2)
From the question, we have that;
(11 + x2)/2 = 4
11 + x2 = 2(4)
11 + x2 = 8
x2 = 8-11
x2 = -3
Also;
(-2 + y2)/2 = 3
-2 + y2 = 2(3)
-2 + y2 = 6
y2 = 6 + 2
y2 = 8
So the coordinates of R is (-3,8)