Ab and c are collinear, and b is between a and c. the ratio of ab to ac is 2: 7. if a is at (0,-8) and b is (2,-4), what are the coordinates of point c?

  C = (7, 6)

Step-by-step explanation:

The problem statement tells us the relation between the points is ...

  (B-A)/(C-A) = 2/7

  7(B -A) = 2(C -A) . . . . . . multiply by 7(C-A)

  7B -7A +2A = 2C . . . . . add 2A

  C = (7B -5A)/2 . . . . . . . divide by 2

  C = (7(2, -4) -5(0, -8))/2 = (14, 12)/2 . . . . . fill in the values of A and B

  C = (7, 6)

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