Question

Point C partitions AB into two parts so that the ratio of the length of AC to the length of CB is 1:5. What are the coordinates of point ?

Select and drag a number to each empty box to correctly complete the coordinates of point
The coordinates of point C are?

Answer 1

9514 1404 393

Answer:

C(-1, -4)

Explanation:

We want ...

AC/CB = 1/5

5(C-A) = B-C . . . . multiply by 5CB

6C = B +5A . . . . . add 5A-C

C = (B +5A)/6 . . . divide by 6

C = ((4, 6) +5(-2,-6))/6 = (4-10,6-30)/6 = (-6, -24)/6

C = (-1, -4)