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

1 Answer
Apr 6, 2018

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)(-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)