How do you find the midpoint of (-4,1), (3,-1)?

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Answer 1 · 2017-01-26T13:21:46

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 values from points in the problem gives:

#M = ((color(red)(-4) + color(blue)(3))/2 , (color(red)(1) + color(blue)(-1))/2)#

#M = (-1/2 , 0/2)#

#M = (-1/2 , 0)#

The midpoint is: #(-1/2, 0)#