A ratio of 1:2 divides the line in to 1/3 and 2/3 The distance A to B is 1/3
look at the x coordinate of A and B -9 to -4 is 1/3 a distance of 5 2/3 would be 10 added to the -4 = 6
y coordinate A to B -7 to - 6 is 1/3 a distance of 1 2/3 would be 2 more added to B -6 + 2 = -4
C is (6,-4)