• Coordinates of point A: (x1, y1)
,• Coordinates of point B: (x2, y2)
,• Ratio 3:4, means that the partition ratio is c = 3/(3+4) = 3/7
,• The rise is computed as follows: y2 - y1
,• The run is computed as follows: x2 - x1
Then, the coordinates of C are: x1 + c*run, y1 + c*rise, or:
[tex](x_1+\frac{3}{7}\cdot(x_2-x_1),y_1+\frac{3}{7}\cdot(y_2-y_1))[/tex]