What is the midpoint of a segment whose endpoints are (-12, -7) and (8, -11)?

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Answer 1 · 2017-01-25T15:18:04

The midpoint is (-2, -9)

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 values from the equation gives:

$M = ((color(red)(-12) + color(blue)(8))/2 , (color(red)(-7) + color(blue)(-11))/2)$

$M = (-4/2, -18/2)$

$M = (-2, -9)$