Question

Find the midpoint of the segment with the following endpoints.
(-2,-4) and (-6,4)

Answer 1

(- 4, 0 )

Explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ )

find the midpoint , M , using the midpoint formula

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

let (x₁, y₁ ) = (- 2, - 4 ) and (x₂, y₂ ) = (- 6, 4 )

substitute these values into the formula for M

M =
`(-2+(-6))/(2)` ,
`(-4+4)/(2)` ) = (
`(-2-6)/(2)` ,
`(0)/(2)` ) = (
`(-8)/(2)` , 0 ) = ( - 4, 0 )