Question

What is the midpoint of a segment whose endpoints are (-12, -7) and (8, -11)?

Answer 1

The midpoint is (-2, -9)

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 equation gives:

`M = ((color(red)(-12) + color(blue)(8))/2 , (color(red)(-7) + color(blue)(-11))/2)`

`M = (-4/2, -18/2)`

`M = (-2, -9)`