What is the midpoint of the line segment that joins points (4,-2) and (-2,5)?

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Answer 1 · 2016-12-28T03:13:43

The midpoint is (1 , 3/2)

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 two points we are given in this problem gives:

#M = ((color(red)(4) + color(blue)(-2))/2 , (color(red)(-2) + color(blue)(5))/2)#

#M = (2/2 , 3/2)#

#M = (1 , 3/2)#