In the coordinate plane, two points, $A(2, 3)$ and $B(6, 7)$, are connected by a straight line segment. A third point, $C$, lies on the line segment $AB$ such that it divides $AB$ in the ratio $k : 1$. Determine the coordinates of point $C$ when the value of $k$ is 2.
Calculate the x-coordinate and y-coordinate of point $C$ and enter the results in the grid below, separated by a comma.