How do you find the midpoint of A(-4,-2) and B(4,3)?

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Answer 1 · 2018-06-12T18:35:01

#(0,\frac{1}{2})#

Work out the centers of the x and the y coordinates individually such that the center is:

#(\frac{-4+4}{2},\frac{-2+3}{2})#

Simplify it to:
#(0,\frac{1}{2})#

Answer 2 · 2018-06-12T18:35:10

See a 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), color(red)(y_1))# and #(color(blue)(x_2), color(blue)(y_2))#

Substituting the values from the points in the problem gives:

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

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

#M = (0, 1/2)#