hammond52344 hammond52344
  • 30-09-2018
  • Mathematics
contestada

A line segment has the endpoints S(1, 4) and T(7, 8). Find the coordinates of its midpoint M.

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jimrgrant1 jimrgrant1
  • 30-09-2018

M(4, 6)

given endpoints (x₁, y₁) and (x₂, y₂) then the coordinates of the midpoint is

M = [[tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ )]

here (x₁, y₁) = (1, 4) and (x₂, y₂) = (7, 8)

M = [[tex]\frac{1}{2}[/tex] (1 + 7 ), [tex]\frac{1}{2}[/tex] (4 + 8)] = (4, 6)


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