Basically, to partition a segment, you ought to have the particular ratio you are partitioning it into. The ratio comes in the form a:b.
The diagram below will help illustrate better.
We can now see the line segment divided in the ratio 1:2. The computations are outlined below:
[tex]\begin{gathered} \text{Length of }y-axis\text{ = 9 - 0 = }9 \\ \text{Length of x-axis = 6 -0 = 6} \\ \text{Next, we divide the lengths by 1+2 = 3} \\ y-\text{axis}\Rightarrow\frac{9}{3}=6 \\ x-\text{axis}\Rightarrow\frac{6}{3}=2 \\ At\text{ the point (2,6) the segment is divided into the ratio 1:2} \end{gathered}[/tex]
