How do you find the midpoint between (5,2), (3,10)?

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Answer 1 · 2017-01-31T02:05:01

See the entire solution process below:

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

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

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 from the problem and calculating $M$ gives:

$M = ((color(red)(5) + color(blue)(3))/2 , (color(red)(2) + color(blue)(10))/2)$

$M = (8/2 , 12/2)$

$M = (4, 6)$