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)`

= \[\left(\frac{\boxed{-1 + 5}}{2}, \frac{\boxed{1 - 7}}{2}\right)\]

∴ Coordinates of the midpoint = \[\left(\frac{4}{2}, \frac{\boxed{-6}}{2}\right)\]

∴ Coordinates of the midpoint = (2, \[\boxed{–3}\])