GB-23-01-001 · Midpoints

Find the midpoint of the line joining $(-1,8)$ and $(3,6)$ .

Coordinate Geometry: Midpoint of a Line Booklet p. 81

Method

Use Midpoint = ((x₁ + x₂)/2 , (y₁ + y₂)/2)

Worked Example (GB-23-01-001)

x_1 \quad y_1

(-1,\; 8)

and

x_2 \quad y_2

(3,\; 6)

\text{Midpoint} = \left(\frac{x_1 + x_2}{2},\; \frac{y_1 + y_2}{2}\right) = \left(\frac{-1 + (3)}{2},\; \frac{8 + (6)}{2}\right)

(1,7)