Question 1201988
A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 4:1 ratio. Find Q. Show all your work for full credit. 
*[illustration division.png].

Let A ~(x1,y1)
C~(x2,y2)
and 
Q~ (x,y) 

Formula

{{{x= (mx2+nx1)/(m+n)}}}

(4*4+1*2)/(4+1)= 3.6



{{{x= (my2+ny1)/(m+n)}}}

((4*2+1*(-1))/5 = 7/5 =1.4
Q (3.6,1.4)