Me and my math crew are trying to figure out this it's a
given: line segment ab,
with point a at (4, 3) and point b at (10, –9).
point c lies on segment ab,
such that the ratio of ac: cb is 3: 1.
find the coordinates of point c.
question 8 options:
(7, –3)
(8.5, –6)
(5.5, 0)
(8, –5)
(9, –7)

The coordinates of the point C are:

                          (8.5,-6)

We know that if a point C(x,y) divides the line segment A(a,b) B(c,d) in the ratio m:n then the coordinates of point C are given by:

Here we have:

m=3 and n=1

a=4 , b=3 , c=10 and d= -9

Hence, we have:

Hence, the coordinates of the point C are:

                      (8.5,-6)