How do you find the midpoint of the line segment with endpoints (5, 12 and (7, -5)?

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Answer 1 · 2016-12-26T03:58:40

The midpoint of this line segment is #(6, 7/2)#

The equation 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 points from the problems allows us to solve for #M#:

#M = ((color(red)(5) + color(blue)(7))/2 , (color(red)(12) + color(blue)(-5))/2)#

#M = (12/2 , 7/2)#

#M = (6, 7/2)#