Find the coordinate of the point P (x) if it is the midpoint of the segment MN, where M (5), N (-3).

The distance from the origin to the point is the modulus of its coordinate, then the distance to the point M is equal to:

| o, M | = | 5 | = 5.

And the distance to point N:

| o, P | = | -3 | = 3.

Then the distance | MN | equally:

| o, M | + | oP | = 5 + 3 = 8.

And half of it:

8: 2 = 4.

The coordinate of the required point:

5 – 4 = 1.



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