Question

Find coordinates of midpoint of segment joining (–2, 6) and (8, 2).

Answer 1

Let A(x₁, y₁) = A(–2, 6), B(x₂, y₂) = B(8, 2), C(x, y) be the midpoint of seg AB.

∴ x₁ = –2, y₁ = 6, x₂ = 8, y₂ = 2

By midpoint formula,

`C(x, y) = ((x_1 + x_2)/2, (y_1 + y_2)/2)`

= `((-2 + 8)/2, (6 + 2)/2)`

= `(6/2, 8/2)`

= (3, 4)

∴ Coordinates of midpoint of segment joining (–2, 6) and (8, 2) are (3, 4).