Question

Find the coordinates of the midpoint of a segment with the endpoints (7,0) and (2,4).

Answer 1

(4.5, 2 )

Explanation:

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

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

let (x₁, y₁ ) = (7, 0 ) and (x₂, y₂ ) = (2, 4 )

substitute these values into the formula for M

M =
`(7+2)/(2)` ,
`(0+4)/(2)` ) = (
`(9)/(2)` ,
`(4)/(2)` ) = (4.5, 2 )