Question

Find the coordinates of the mid-point of the line segment joining the following points:

(12, 5) and (2, 7)

Answer 1

Formula:

The midpoint M of the segment joining P(x₁, y₁) and Q(x₂, y₂) is,

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

Identify coordinates:

Here,

 P = (12, 5) so x₁ = 12, y₁ = 5;

Q = (2, 7) so x₂ = 2, y₂ = 7

Substitute and compute:

x-coordinate = `(x_1 + x_2) / 2`

= `(12 + 2) / 2`

= `14 / 2`

∴ x-coordinate = 7

y-coordinate = `(y_1 + y_2) / 2`

= `(5 + 7) / 2`

= `12 / 2`

∴ y-coordinate = 6

Hence, the coordinates of the mid-point of the line segment joining the points are (7, 6).