Find the coordinates of the point which divides the join of $A(-1,7)$ and $B(4,-3)$ in the ratio $2:3$.

If a point $P(x,y)$ divides a line segment having end points coordinates $(x_1,y_1)$ and $(x_2,y_2)$, then coordinates of the point P can be find using formula:

Let $P(x,y)$ be the point which divides the line joining the points $A(-1,7)$ and $B(4,-3)$ in the ratio $2:3$, then

$x=1$.

Therefore, required point is $(1,3)$.