Question

Find the midpoint of the line segment with the given endpoints. (4,5) & (-8, —7)

Answer 1

(- 2, - 1 )

Explanation:

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

M = (
`(x_(1)+x_(2) )/(2)` ,
`(y_(1)+y_(2) )/(2)` ) ← midpoint formula

let (x₁, y₁ ) = (4, 5 ) and (x₂, y₂ ) = (- 8, - 7 )

substitute these values into the formula for M

M = (
`(4-8)/(2)` ,
`(5-7)/(2)` ) = (
`(-4)/(2)` ,
`(-2)/(2)` ) = (- 2, - 1 )