How do you find the midpoint of the line segment joining Q(3,9), P(-1.5)?

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Answer 1 · 2017-02-07T19:27:38

See the entire process below:

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

$M = ((color(red)(x_1) + color(blue)(x_2))/2 , (color(red)(y_1) + color(blue)(y_2))/2)$

Where $M$ 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 points in the problem gives:

$M = ((color(red)(3) + color(blue)(-1))/2 , (color(red)(9) + color(blue)(5))/2)$

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

#M = (1, 7)