Question

What are the coordinates of the midpoint of the segment that connects the point (-2, -3) and (8,5)

Answer 1

midpoint = (3, 1 )

Explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint (M )is the average of the x and y coordinates of the endpoints, that is

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

let (x₁, y₁ ) = (- 2, - 3 ) and (x₂, y₂ ) = (8, 5 )

substitute these values into the formula for M

M = (
`(-2+8)/(2)` ,
`(-3+5)/(2)` ) = (
`(6)/(2)` ,
`(2)/(2)` ) = (3, 1 )