Question

Douglas has a segment with endpoints I(5, 2) and J(9, 10) that is divided by a point K such that IK and KJ form a 2:3 ratio. He knows that the distance between the x-coordinates is 4 units. Which of the following fractions will let him find the x-coordinate for point K?
A. 2/3
B. 2/5
C. 3/2
D. 3/5

Answer 1

For the answer to the question above, 
 the distance from i to j is 5 parts 
(2 parts from i to k and 3 parts from k to j) 

The y distance from i to j is 
10 - 2 = 8 

Each part is 8/5 = 1.6 
Therefore the distance between the 2 parts from i to k is 3.2 

From the y coordinate of I which is 2 plus the 3.2 to point k 
2 + 3.2 = 5.2 

Answer y =5.2 

Now just convert that to fraction and that will be the answer