Answer:
The coordinates of the point are (-3,-5)
Step-by-step explanation:
Here, we want to find the coordinates of the point that divides the segment in the ratio 3:2
We shall use the internal division formula;
(x,y) = (mx2 + nx1)/(m + n) , (my2 + ny1)/(m+ n)
Where in this case;
(x1,y1) = (6,-2)
(x2,y2) = (-9,-7)
(m, n) = 3,2
Substituting these values;
(x,y) = (3(-9) + 2(6))/(3+2) , (3(-7) + 2(-2))/(3+2)
(x,y) = (-27 + 12)/5 , (-21 -4)/5
(x ,y) = (-15/5, -25/5)
(x , y) = (-3,-5)
