Question

Find the coordinates of the midpoint of the line segment joining the two points (1,4) (4,1)

Answer 1

(2.5, 2.5 )

Explanation:

given 2 points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint (M) is

M = (
`(x_(1)+x_(2) )/(2)` ,
`\frac{y_{1+y_(2) } }{2}` ) ← midpoint formula

let (x₁, y₁ ) = (1, 4 ) and (x₂, y₂ ) = (4, 1 )

substitute these values into the midpoint formula

M = (
`(1+4)/(2)` ,
`(4+1)/(2)` ) = (
`(5)/(2)` ,
`(5)/(2)` ) = ( 2.5, 2.5 )