Answer:
S = (3, 5 )
Step-by-step explanation:
Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ (x₁ + x₂ ), (y₁ + y₂ ) ]
let the coordinates of S be (x, y ), then using the midpoint formula equate the parts to the coordinates of the midpoint M
x = (x + 5) = 4 ( multiply both sides by 2 )
x + 5 = 8 ( subtract 5 from both sides )
x = 3
y = (y + 3) = 4 ( multiply both sides by 2 )
y + 3 = 8 ( subtract 3 from both sides )
y = 5
The coordinates of S = (3, 5 )