Question

Find the coordinates of m, the midpoint of gh, for g(8,-6) and h(-14,12)

Answer 1

m = (- 3, 3 )

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 ) = g (8, - 6 ) and (x₂, y₂ ) = h (- 14, 12 ) , them midpoint m is

m = (
`(8-14)/(2)` ,
`(-6+12)/(2)` ) = (
`(-6)/(2)` ,
`(6)/(2)` ) = (- 3, 3 )