Given the points **THE**(x_{THE}, y_{THE}), **B**(x_{B}, y_{B}), **Ç**(x_{Ç}, y_{Ç}) of the same line , point C divides for a certain reason, called *section ratio* and indicated by:

on what because if , then A = B.

Note the following representation:

As the , we can write:

Let's look at some examples:

Considering the points

**THE**(2, 3),**B**(5, 6) and**P**(3, 4), the reason why the point**P**divide é:

If we calculated **r**_{P} Using the ordinates of the points, we would get the same result:

To the points

**THE**(2, 3),**B**(5, 6) and**P**(1, 2) we have:

So for one point **P** any relative to a segment oriented contained in an axis, we have:

if P is inside a , then r

_{P}> 0_{}if P is outside of , then r

_{P}< 0if P = A, then r

_{P}=0if P = B, then there is no r

_{P}(PB = 0)if P is the midpoint of , then r

_{P}=1