Question

M is the midpoint of point A (5,4) and point B (15,0)

What is the x- coordinate of M

Answer 1

x = 10

Explanation:

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

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

Here (x₁, y₁ ) = A(5, 4) and (x₂, y₂ ) = B(15, 0) , then

M = (
`(5+15)/(2)`,
`(4+0)/(2)` ) = (
`(20)/(2)`,
`(4)/(2)` ) = (10, 2 )

The x- coordinate of M = 10