Given:
The coordinates are X (0,0), Y (6,3), and Z (1.5, 0.75).
To find:
The ratio where point Z partitioned segment XY.
Solution:
Section formula: If a point divides a line segment is m:n, then
Let point Z partitioned segment XY in k:1.
Using section formula, we get
On comparing both sides, we get
Divide both sides by 4.5.
So, the required ratio is
Therefore, point Z partitioned segment XY in 1:3.