Question

Point `M` is the midpoint between points A and B. If A is (-9, 2) and B is (-1,-8) where is `M`?

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_(A-B) = ((color(red)(-9) + color(blue)(-1))/2 , (color(red)(2) + color(blue)(-8))/2)`

`M_(A-B) = ((-10)/2 , (-6)/2)`

`M_(A-B) = (-5, -3)`