Question

Find the midpoint of the line segment with end coordinates of: (1,7) and (3,−2) Give coordinates as decimals where appropriate.

Answer 1

(2, 2.5 )

Explanation:

Using the midpoint formula

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

[
`(1)/(2)` (x₁ + x₂ ),
`(1)/(2)` (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (1, 7) and (x₂, y₂ ) = (3, - 2) , thus

midpoint = [
`(1)/(2)`(1 + 3),
`(1)/(2)` (7 - 2) ] = (2, 2.5 )