Prove that the points \((1, 11)\), \((4, 8)\) and \((7, 5)\) are collinear, by using section formula.
Proof:
Let \(A = (1, 11)\), \(B = (4, 8)\) and \(C = (7, 5)\).
Assume that the points are .
If points are collinear, then .
The point \(B\) divides the lines segment joining \(AC\). []
\(\Rightarrow\) ......(1)
Thus, using the section formula, we obtain that the point \(B\) divides the line segment in the ratio .
The obtained ratio the equation (1).
Therefore, the points are .