Respuesta :

(-2 +4)/2 = 2/2 = 1
(-4-6)/2 = -10/2 = -5
midpoint  = (1, -5)

The midpoint of a line is the equidistance from both ends of a line. The coordinate of the midpoint of the line LM will be (1,-5).

What are the coordinates of the midpoint of the line segment AB?

Suppose we've two endpoints of a line segment as A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

x =(p+m)/2 and y = (q+n)/2

Given the endpoints of the line are (-2, -4) and (4, -6). Therefore, the midpoint of the line can be written as,

x = (-2+4)/2 = 1

y = [-4+(-6)]/2 = -5

Hence, the coordinate of the midpoint of the line LM will be (1,-5).

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