What is the midpoint of a line segment with ending points at (0,-8) (-8,0)

The midpoint of a line segment with ending points at (0,-8) (-8,0) is (-4, -4)

Solution:

Given that the points are (0, -8) and (-8, 0)

we have to find the midpoint of the line segment.Midpoint is found by finding the values of "x" and "y" of the midpoint.

Using the formula for midpoint of "x" and "y":

For "x": --- eqn 1

For "y": ---- eqn 2

For the points (0, -8) and (-8, 0) we get

By substituting the values in  equation 1, we get the "x" co-ordinate of midpoint

hence the "x" co-ordinate of midpoint is "-4"

By substituting the values in  equation 2, we get the "y" co-ordinate of midpoint

hence the "y" co-ordinate of midpoint is "-4"

hence the midpoint of the line segment is (-4, -4)

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