Answer:
Q(3.6, 1.4)
Step-by-step explanation:
You want the coordinates of Q that partitions AC in the ratio 4:1, where the endpoints are A(2, -1) and C(4, 2).
Ratio
You want the ratio
AQ/QC = 4/1 . . . . . desired ratio
AQ = 4·QC . . . . . multiply by QC
Q -A = 4(C -Q) . . . . . write as difference of coordinates
5Q = 4C +A . . . . . . solve for Q
Q = (4C +A)/5 = (4(4, 2) +(2, -1))/5 = (18, 7)/5 = (3.6, 1.4)
The point Q(3,6, 1.4) divides segment AC in the ratio 4:1.
