How do you find the midpoint of (1, 9), (5, 5)?

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Answer 1 · 2018-03-10T02:38:14

See a 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:

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

Substituting the values from the points in the problem gives:

$M = ((color(red)(1) + color(blue)(5))/2 , (color(red)(9) + color(blue)(5))/2)$

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

$M = (3, 7)$