Verify that the points \((1, 26)\), \((9, 18)\) and \((17, 10)\) are collinear, by using section formula.
Proof:
Let \(A = (1, 26)\), \(B = (9, 18)\) and \(C = (17, 10)\).
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 .