35. Exemplar Exercise Problem XIV

In what ratio does the x-axis divides the line segment joining the points \(A (–4, -6)\) and \(B (–1, 7)\)? Find the coordinates of the points of division.

 

 

The coordinates of the point \(P\) is $\left(\begin{array}{ll}\frac{i}{i}& \begin{array}{ll},& i\end{array}\end{array}\right)$.

 

The point P divides the ratio :