Posted by **Patrick** on Wednesday, January 23, 2013 at 9:04pm.

HELP! Input:1 1/3 Output 7/12 Input 2 3/5 Output 1 17/20 Input 3 5/6 Output ? Input ? Output 3 5/8. What is the rule, and what are the question marks values?

- Math -
**Reiny**, Wednesday, January 23, 2013 at 10:13pm
consider it to be the ordered pairs

(4/3 , 7/12) and (13/5 , 37/20) and the relation is linear , since only 2 points were given

slope = (37/20 - 7/12) / (13/5 - 4/3) = 1

so y - 7/12 = x - 4/3

multiply be 12

12y - 7 = 12x - 16

**12x - 12y = 9**

or

**4x - 4y = 3**

so the input is your x , the output is your y

for input 3 5/6 or 23/6

4(23/6) + 4y = 3

4y = 3 - 46/3

y = - 37/12 ---> output

You try the other one

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