Use the midpoint formula three times to find the three points that divide the line segment joining (x1, y1) and (x2, y2) into four parts

We are given points  and . 

We first find the midpoint M, of AB, which divides the segment AB into 2 equal parts, 

then we find the midpoint N of AM, and midpoint K of MB.

Thus each of the half parts is divided into 2 equal parts. The whole segment is divided into 4 equal parts.

The coordinates of M, N and K are found as follows:

the coordinates of M are: 

the coordinates of N are: 





similarly, the coordinates of k are:

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