Question

Find the midpoint M of the line segment joining the points A = (-2, 8) and B = (-8, -4).

Answer 1

M (- 5, 2 )

Explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

(
`(x_(1)+x_(2) )/(2)` ,
`(y_(1)+y_(2) )/(2)` )

Here (x₁, y₁ ) = A (- 2, 8 ) and (x₂, y₂ ) = B (- 8, - 4 ) , then

midpoint = (
`(-2-8)/(2)` ,
`(8-4)/(2)` ) = (
`(-10)/(2)` ,
`(4)/(2)` ) = (- 5, 2 )