How do you find the midpoint between (0,-4), (8,4)?

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Answer 1 · 2017-06-19T18:00:52

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:

$M = ((color(red)(0) + color(blue)(8))/2 , (color(red)(-4) + color(blue)(4))/2)$

$M = (8/2 , 0/2)$

$M = (4 , 0)$