How do you find the midpoint of the segment connecting (4,7) to to (2,3)?

Question

3929 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-26T03:49:05

The midpoint of this segment is (3, 5)

$M = ((color(red)(x_1) + color(blue)(x_2))/2 , (color(red)(y_1) + color(blue)(y_2))/2)$

Where $M$ is the midpoint and the given points are:

$color(red)((x_1, y_1))$ and $color(blue)((x_2, y_2))$

Substituting the points in the problem we can solve for $M$ :

$M = ((color(red)(4) + color(blue)(2))/2 , (color(red)(7) + color(blue)(3))/2)$

$M = (6/2 , 10/2)$

$M = (3, 5)$