How do you find the midpoint of the segment connecting (3, 2) and (1, -2)?

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Answer 1 · 2016-12-26T03:41:14

The midpoint of this segment is (2, 0)

The equation to find the mid-point of a line segment give the two end points is:

$M = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ $M = ((color(red)(x_1) + color(blue)(x_2))/2 , (color(red)(y_1) + color(blue)(y_2))/2)$

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

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

Substituting the points we are given we can solve for $M$ as follows:

$M = ((color(red)(3) + color(blue)(1))/2 , (color(red)(2) + color(blue)((-2)))/2)$

$M = (4/2 , 0/2)$

$M = (2, 0)$