How do you find the midpoint of (-5, 4) and (3, 2)?

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Answer 1 · 2017-04-30T17:09:41

See the 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:

$M = ((color(red)(-5) + color(blue)(3))/2 , (color(red)(4) + color(blue)(2))/2)$

$M = (-2/2 , 6/2)$

$M = (-1, 3)$

Answer 2 · 2017-04-30T17:11:07

Use the formulas:
$x_"midpoint"=(x_"start"+x_"end")/2$
$y_"midpoint"=(y_"start"+y_"end")/2$

Given the start point $(-5,4)$ and the end point $(3,2)$ :

$x_"midpoint"=(-5+3)/2 = (-2)/2 = -1$
$y_"midpoint"=(4+2)/2= 6/2 = 3$

The midpoint is: $(-1,3)$