Question

What is the midpoint of (-3, 7) and (9, -7)?

Answer 1

The midpoint is `(3, 0)`

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, y_1)))` and `(color(blue)((x_2, y_2)))`

Substituting the values from the points in the problem gives:

`M = ((color(red)(-3) + color(blue)(9))/2 , (color(red)(7) + color(blue)(-7))/2)`

`M = (6/2, 0/2)`

`M = (3, 0)`