How do you find the midpoint of the line segment joining (2,-3) and (8, -1)?

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Answer 1 · 2017-03-28T17:43:56

See the entire solution 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:

$M = ((color(red)(2) + color(blue)(8))/2 , (color(red)(-3) + color(blue)(-1))/2)$

$M = (10/2 , -4/2)$

$M = (5, -2)$

Answer 2 · 2017-03-28T17:45:18

$(5,-2)$

The mid=point of a line segment is the arithmetic mean of the co-ordinates

$"midpoint of "(x_1,y_1), (x_2,y_2)$

$"is given by " M( (x_1+x_2)/2, (y_1+y_2)/2)$

$" for "(2,-3),(8,-1) " we have "$

$( (2+8)/2, (-3 + -1)/2)$

$(10/2, -4/2)=(5,-2)$