What is the midpoint of (-3, 7) and (9, -7)?

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Answer 1 · 2017-02-10T13:30:51

The midpoint is $(3, 0)$ $(3, 0)$

The formula to find the mid-point of a line segment give the two end points is:

$M = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ $M = ((color(red)(x_1) + color(blue)(x_2))/2 , (color(red)(y_1) + color(blue)(y_2))/2)$

Where $M$ $M$ is the midpoint and the given points are:

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

Substituting the values from the points in the problem gives:

$M = ((color(red)(-3) + color(blue)(9))/2 , (color(red)(7) + color(blue)(-7))/2)$

$M = (6/2, 0/2)$

$M = (3, 0)$