Question

NEED ASAP

What are the coordinates of the midpoint of AB if A (4, 6) and B(-8, 2)?
o (6, 4)
O (-6, 4)
O (-2, 4)
o (2, 4)

Answer 1

Midpoint be p(x,y)

P(x,y)=

`\\ \sf\longmapsto \left((4-8)/(2),(6+2)/(2)\right)`

`\\ \sf\longmapsto \left((-4)/(2),(8)/(2)\right)`

`\\ \sf\longmapsto (-2,4)`

Answer 2

(- 2, 4 )

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 (4, 6 ) and (x₂, y₂ ) = B (- 8, 2 )

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