Question

How do you find the midpoint of (5,-1/2), (-3,5/2)?

Answer 1

See the entire 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, y_1)))` and `color(blue)(((x_2 ,y_2)))`

Substituting the values from the points in the problem and calculating `M` gives:

`M = ((color(red)(5) + color(blue)(-3))/2 , (color(red)(-1/2) + color(blue)(5/2))/2) = (2/2, (4/2)/2) = (1, 2/2) = (1, 1)`