How do you find the midpoint of the line segment joining A (-1,5) B (6,-3)?

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Answer 1 · 2018-04-06T11:44:19

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)(-1) + color(blue)(6))/2 , (color(red)(5) + color(blue)((-3)))/2)#

#M = ((color(red)(-1) + color(blue)(6))/2 , (color(red)(5) - color(blue)(3))/2)#

#M = (5/2 , 2/2)#

#M = (2.5 , 1)#