Question

the coordinates of the endpoints A and B of segment AB are 6 and 21, respestively. find the coordinate of point C between A and B such that AC= 2/3(CB)

Answer 1

The separation of the points A and B is 21-6 = 15. C is located 2/5 of the way from A to B, and 3/5 of the AB distance remains from B to C. That pus C 6 units beyond point A, at a coordinate value of 6 + 6 = 12.

Answer 2

AC = 2/3 CB
so AC:CB = 2:3

6----------X------------------21
A..........C...................B
-----2----- ---------3---------


then (X-6)/2 = (21-X)/3
cross multiply
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...
X=12