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)#

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, 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)#