# Math

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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 - ,

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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