Let's begin with graphing the segment KM on a coordinate plane.
We want to find point Q so that the ratio between KQ and KM is 52. KMKQ=52 To make this happen, we should place Q so that it lies on the segment and is 52 of the way from K to M. Notice that we can divide the segment KM into 5 equal segments as shown below.
Therefore, 52 of this distance is like moving along the segment by 2 of these squares.
We can tell that the coordinates of the point Q are (1,1).