What is the midpoint of a segment whose endpoints are #(5, 8)# and #(11,6)#?

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Answer 1 · 2017-01-24T14:41:16

The midpoint of the segment is (8, 7)

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 problem gives:

#M = ((color(red)(5) + color(blue)(11))/2 , (color(red)(8) + color(blue)(6))/2)#

#M = (16/2 , 14/2)#

#M = (8, 7)#