Respuesta :
Solution -
Distance between A and B is = 6 - (-4) = 10
So AB = 10
We have to find the point C which divides AB is ratio 3:2 .
So in there are 3+2 = 5 parts are to be divided from total of 10.
Hence each part will be 10/5 = 2
Then AC = 3×2 = 6 units and CB =2×2 = 4 units
so coordinate of C = coordinate of A + 6 units = -4 + 6 = 2
Hence, Point (2,0) divides the asked segment in 3:2 ratio.