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

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Answer 1 · 2017-07-27T01:25:20

See a solution process below:

The formula to find the mid-point of a line segment give the two end points is:

$M = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ $M = ((color(red)(x_1) + color(blue)(x_2))/2 , (color(red)(y_1) + color(blue)(y_2))/2)$

Where $M$ $M$ is the midpoint and the given points are:

$(x_{1}, y_{1})$ $(color(red)(x_1), color(red)(y_1))$ and $(x_{2}, y_{2})$ $(color(blue)(x_2), color(blue)(y_2))$

Substituting the values from the points in the problem gives:

$M = (\frac{- 5 + 3}{2}, \frac{5 + - 3}{2})$ $M = ((color(red)(-5) + color(blue)(3))/2 , (color(red)(5) + color(blue)(-3))/2)$

$M = (- \frac{2}{2}, \frac{2}{2})$ $M = (-2/2 , 2/2)$

$M = (- 1, 1)$ $M = (-1 , 1)$