Respuesta :

Answer:

the answer is (3,5)

Step-by-step explanation:

i used the slope between M and T to figure out where point S was

Answer:

S = (3, 5 )

Step-by-step explanation:

Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (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 = [tex]\frac{1}{2}[/tex] (x + 5) = 4 ( multiply both sides by 2 )

x + 5 = 8 ( subtract 5 from both sides )

x = 3

y = [tex]\frac{1}{2}[/tex] (y + 3) = 4 ( multiply both sides by 2 )

y + 3 = 8 ( subtract 3 from both sides )

y = 5

The coordinates of S = (3, 5 )

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