How do you find the midpoint between (0,-4), (8,4)?

1 Answer
Jun 19, 2017

See a solution process below:

Explanation:

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)(0) + color(blue)(8))/2 , (color(red)(-4) + color(blue)(4))/2)#

#M = (8/2 , 0/2)#

#M = (4 , 0)#