How do you find the midpoint of the segment with the endpoints (2/3,9/2) and (1/3,11/2)?

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Answer 1 · 2017-06-06T20:10:06

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 $(color(blue)(x_2, y_2))$

Substituting the values from the points in the problem gives:

$M = ((color(red)(2/3) + color(blue)(1/3))/2 , (color(red)(9/2) + color(blue)(11/2))/2)$

$M = ((((color(red)(2) + color(blue)(1))/3))/2 , ((color(red)(9) + color(blue)(11))/2)/2)$

$M = ((3/3)/2 , ((20)/2)/2)$

$M = (1/2 , 10/2)$

$M = (1/2 , 5)$