Question

What are the coordinates of the midpoint of the line segment with endpoints J(−6, 3) and K(4, −2)?

Answer 1

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 and calculating gives:

`M_(J-K) = ((color(red)(-6) + color(blue)(4))/2 , (color(red)(3) + color(blue)(-2))/2)`

`M_(J-K) = ((color(red)(-6) + color(blue)(4))/2 , (color(red)(3) - color(blue)(2))/2)`

`M_(J-K) = (-2/2 , 1/2)`

`M_(J-K) = (-1 , 1/2)`