It is known that K is the middle of the segment MP. Find the coordinate of the point P, if M (2,3) K (4,6).

The midpoint of a line segment is a point that is equidistant (that is, lies at the same distance) from the ends of the line segment. Since point K is the middle of the segment MP, and the coordinates of the points are M (2, 3), K (4, 6), point P lies on the coordinate segment to the right of point K at a distance equal to the length of the segment MK. And to find the length of a segment by its coordinates, you need to subtract the coordinate of the beginning of the segment (point M) from the coordinate of the end of the segment (point K): 4.6 – 2.3 = 2.3.

Now we find the coordinate of the point P:

4.6 + 2.3 = 6.9.

Answer: P (6.9).