What is the midpoint of the line segment between (10, 6) and (-4, 8)?

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Answer 1 · 2017-02-03T00:31:28

The midpoint is (3, 7)

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 gives:

$M = ((color(red)(10) + color(blue)(-4))/2 , (color(red)(6) + color(blue)(8))/2)$

$M = (6/2, 14/2)$

$M = (3, 7)$