Question

A line segment has the endpoints p(7, –1) and q(9, 8). find the coordinates of its midpoint m.

Answer 1

m (8, 3.5 )

Explanation:

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

m = (
`(x_(1)+x_(2) )/(2)` ,
`(y_(1)+y_(2) )/(2)` ) ← midpoint formula

let (x₁, y₁ ) = p (7, - 1 ) and (x₂, y₂ ) = q (9, 8 )

substitute these values into the formula for m

m = (
`(7+9)/(2)` ,
`(-1+8)/(2)` ) = (
`(16)/(2)` ,
`(7)/(2)` ) = (8, 3.5 )