Find the coordinates of the point which divides the join of $A(-5,11)$ and $B(4,-7)$ in the ratio $7:2$.

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 $A(-5,11)$ and $B(4,-7)$ in the ratio $7:2$.

Therefore, required point is $(2,-3)$.