Answer:

Step-by-step explanation:
We want to find the coordinates of a certain point C(x,y) such that C divides
and
in the ratio m:n=3:2
The x-coordinate is given by:
The y-coordinate is given by:
AB has coordinates A(-5,9) and B(7,- 7)
We substitute the values to get:
and
Therefore C has coordinates
The line segment that contains C is 
See attachment.