Question

Find the location of the midpoint of AB, given A(-8,-6) and B(-2,10)

Answer 1

(- 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(- 8, - 6) and (x₂, y₂ ) = B(- 2, 10) , thus

midpoint = (
`(-8-2)/(2)` ,
`(-6+10)/(2)` ) = (
`(-10)/(2)` ,
`(4)/(2)` ) = (- 5, 2 )