Question

What is the coordinates of the midpoint of a line with endpoints (-7, -2) and (4,6)?

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 the values from the points in the problem gives:

`M = ((color(red)(-7) + color(blue)(4))/2 , (color(red)(-2) + color(blue)(6))/2)`

`M = (-3/2 , 4/2)`

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