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

Question

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

1 Answer

Impact of this question

3636 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-03T04:40:12

See the entire solution process below:

Explanation:

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

$M = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ $M = ((x_color(red)(1)+x_color(blue)(2))/2, (y_color(red)(1)+y_color(blue)(2))/2)$

Where $(x_{1}, y_{1})$ $(x_color(red)(1), y_color(red)(1))$ and $(x_{2}, y_{2})$ $(x_color(blue)(2), y_color(blue)(2))$ are the end points of the line segment.

Substituting the points from the problem gives:

$M = (\frac{- 3 + 2}{2}, \frac{- 2 + 3}{2}) = (- \frac{1}{2}, \frac{1}{2})$ $M = ((color(red)(-3)+color(blue)(2))/2, (color(red)(-2)+color(blue)(3))/2) = (-1/2, 1/2)$

Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question