41. Exemplar Exercise Problem XX

Find the ratio in which the line \(2x+3y-5 = 0\) divides the line segment joining the points \( \left(  8,-9 \right)\) and \((2,1)\). Also find the coordinates of the point of division.

 

 

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