Question

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

Answer 1

M(4, 6)

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

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

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

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