How do you find the midpoint of H(-5,5) and I(7,3)?

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Answer 1 · 2018-03-07T09:16:04

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:

$M_(H-I) = ((color(red)(-5) + color(blue)(7))/2 , (color(red)(5) + color(blue)(3))/2)$

$M_(H-I) = (2/2 , 8/2)$

$M_(H-I) = (1, 4)$

Answer 2 · 2018-03-07T09:18:58

$(1,4)$

$"the midpoint is the average of the coordinates of the"$
$"endpoints"$

$"midpoint of HI "=[1/2(-5+7),1/2(5+3)]=(1,4)$