Question

What is the midpoint of the line segment between (10, 6) and (-4, 8)?

Answer 1

The midpoint is (3, 7)

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 points from the problem and calculating gives:

`M = ((color(red)(10) + color(blue)(-4))/2 , (color(red)(6) + color(blue)(8))/2)`

`M = (6/2, 14/2)`

`M = (3, 7)`