Question

Find coordinates of the midpoint of a segment joining point A(–1, 1) and point B(5, –7)

Solution: Suppose A(x₁, y₁) and B(x₂, y₂)

x₁ = –1, y₁ = 1 and x₂ = 5, y₂ = –7

Using midpoint formula,

∴ Coordinates of midpoint of segment AB 

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

= `(square/2, square/2)`

∴ Coordinates of the midpoint = `(4/2, square/2)`

∴ Coordinates of the midpoint = `(2, square)`

Answer 1

Suppose A(x₁, y₁) and B(x₂, y₂)

x₁ = –1, y₁ = 1 and x₂ = 5, y₂ = –7

Using midpoint formula,

∴ Coordinates of midpoint of segment AB 

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

= `((-1 + 5)/2, (1 - 7)/2)`

∴ Coordinates of the midpoint = `(4/2, (-6)/2)`

∴ Coordinates of the midpoint = (2, – 3)