Question

How do you find the midpoint of the line segment joining (-3,-2) (2,3)?

Answer 1

See the entire solution process below:

Explanation:

The formula for finding the midpoint of a line segment is:

`M = ((x_color(red)(1)+x_color(blue)(2))/2, (y_color(red)(1)+y_color(blue)(2))/2)`

Where `(x_color(red)(1), y_color(red)(1))` and `(x_color(blue)(2), y_color(blue)(2))` are the end points of the line segment.

Substituting the points from the problem gives:

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