Respuesta :

The coordinates of the midpoint of a segment with the endpoints (-15,4) and (2,-10) is (-13/2, -6/2).

Given,

Two endpoints as  (-15, 4) and (2, -10).

We need to find the coordinates of the midpoint of segments with endpoints A and B.

What are the coordinates of a midpoint between two points of a line?

The coordinates of the midpoint (x, y) is given by:

x = (x_1 + x_2) / 2

y = (y_1 + y_2) / 2

We have,

(-15, 4) = (x_1, y_1)

(2, -10) = (x_2, y_2)

Putting in  x = (x_1 + x_2) / 2 and y = (y_1 + y_2) / 2

x = (-15 + 2) / 2 = -13/2

y = (4 + (-10)) / 2 = -6/2

Thus the coordinates of the midpoint is (-13/2, -6/2).

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