Answer:
The coordinates of T are (-1,4)
Explanation:
The given coordinates of R and S are R(-5,12) and S(4, -6).
The point T divides RS in the ratio 4 : 5.
Let the coordinates of T = (x,y)
Now, by SECTION FORMULA:
If, m1 : m2 is the given ratio, then

So, here:

or,

or, (x, y) = (-1,4)
Hence, the coordinates of T are (-1,4)