How do you find the midpoint of (-17,8), (-2,20)?

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Answer 1 · 2017-02-13T13:03:46

See the entire 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, y_1))#) and (#color(blue)((x_2, y_2))#)

Substituting the points from the problem gives:

#M = ((color(red)(-17) + color(blue)(-2))/2 , (color(red)(8) + color(blue)(20))/2)#

#M = (-19/2 , 28/2)#

#M = (-19/2 , 14)#

The midpoint is #(-19/2, 14)#