How do you find the midpoint of (-17,8), (-2,20)?

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Answer 1 · 2017-02-13T13:03:46

See the entire 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:

( $color(red)((x_1, y_1))$ ) and ( $color(blue)((x_2, y_2))$ )

Substituting the points from the problem gives:

$M = ((color(red)(-17) + color(blue)(-2))/2 , (color(red)(8) + color(blue)(20))/2)$

$M = (-19/2 , 28/2)$

$M = (-19/2 , 14)$

The midpoint is $(-19/2, 14)$