How do you find the midpoint of (-4,1), (3,-1)?

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Answer 1 · 2017-01-26T13:21:46

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 values from points in the problem gives:

$M = ((color(red)(-4) + color(blue)(3))/2 , (color(red)(1) + color(blue)(-1))/2)$

$M = (-1/2 , 0/2)$

$M = (-1/2 , 0)$

The midpoint is: $(-1/2, 0)$