Question

What is the midpoint of the line segment that joins points (4,-2) and (-2,5)?

Answer 1

The midpoint is (1 , 3/2)

Explanation:

The equation 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 two points we are given in this problem gives:

`M = ((color(red)(4) + color(blue)(-2))/2 , (color(red)(-2) + color(blue)(5))/2)`

`M = (2/2 , 3/2)`

`M = (1 , 3/2)`