How do you find the midpoint of (2/5,-1/5), (1/3,5/2)?

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Answer 1 · 2017-06-27T23:23:32

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:

$M = ((color(red)(2/5) + color(blue)(1/3))/2 , (color(red)(-1/5) + color(blue)(5/2))/2)$

$M = (((3/3 xx color(red)(2/5)) + (5/5 xx color(blue)(1/3)))/2 , ((2/2 xx color(red)(-1/5)) + (5/5 xx color(blue)(5/2)))/2)$

$M = ((6/15 + 5/15)/2 , (-2/10 + 25/10)/2)$

$M = ((11/15)/2 , (-23/10)/2)$

$M = (11/(15 xx 2) , -23/(10 xx 2))$

$M = (11/30 , -23/20)$