What are the coordinates of the point which divides the line joining (-1, 7) and (4, -3) in the ratio 2 : 3?

The coordinates of the point dividing the line joining ($$x_1,y_1$$) and ($$x_2,y_2$$) in the ratio m : n is $$(\dfrac{mx_2+nx_1}{m+n} , \dfrac{my_2+ny_1}{m+n})$$

Here, $$x_1 = -1, x_2 = 4$$
$$y_1 = 7, y_2 = -3$$
m = 2 and n = 3
Then, Required coordinates = $$(\dfrac{2(4)+3(-1)}{2+3} , \dfrac{2(-3)+3(7)}{2+3})$$

$$= (\dfrac{8-3}{5} , \dfrac{-6+21}{5})$$

$$= (\dfrac{5}{5} , \dfrac{15}{5})$$

$$ = (1 , 3)$$