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

## Answer this Question

## Related Questions

- math - i need help with patterns and equations i cant find the rule it goes like...
- Algebra - I have an input / output machine I need a rule I can use for any value...
- 7 th grade math - What is the rule for this function? input 1 output 3 input 2 ...
- math - i need help! my last math question cant figure out! whats the rule for ...
- Math - Hey, I need your help! I have an input output table that I need the ...
- Math - What is the rule for this function? input 2 output 5 ,input 4 output 13, ...
- math - Please help me find the rule input 0 output 2 then input 1 output 4 next ...
- math - What is the rule for this function? Input 1 output 3 Input 2 output 5 ...
- math - What is the rule for this function? Input 1 output 3 Input 2 output 5 ...
- calculus - i have a problem figureing out this question do you have any help? ...