find the ratio in which the join of the points (1,2) and (-2,3) is divided by the line 3x + 4y = 7
The coordinates of the point which divides the line segment joining the points internally in the ratio are
The given points are .
Thus, the coordinates of the point which divides the line segment joining the points internally in the ratio are
That is
Since the point lies on the line , it satisfies the equation of theline.
Thus substitute in , we have
Thus, the ratio of the point which divides the line segment joining the points internally is 4:1