Find the midpoint of a line segment that has one endpoint in the first quadrant at (5, 8) and the other endpoint in the fourth quadrant at (5, -10). ?

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Answer 1 · 2018-02-28T13:43:14

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)(5) + color(blue)(5))/2 , (color(red)(8) + color(blue)(-10))/2)#

#M = ((color(red)(5) + color(blue)(5))/2 , (color(red)(8) - color(blue)(10))/2)#

#M = (10/2, -2/2)#

#M = (5, -1)#