The graph of a proportional relationship passes through the given points. find y. 1. (4,8), (1,y) 2. (3,21), (1,y) 3. (1.5,9), (1,y) 4. (3.5,14), (1,y)

In this item, we are tasked to determine the values of y in each of the numbered items that would show the proportional relationship between the points.

1. 4/8 = 1/y
   Rearranging the equation so that y is on one side will give us,
     y = 1 / (4/8) 
     y = 8/4 = 2
     y = 2

2. (3,21) = 1/y
   We rearrange the equation in order to have y be in left-hand side of the equation, 
        y = 1 /(3/21)
         y = 21/3
The final answer to this item is y = 3.

3. (1.5, 9) = 1/y
   Same as what had been done in the past two items,
     1.5/9 = 1/y
    Rearranging,
       y = 1/(1.5/9) 
    Simplifying,
     y = 9/1.5 = 6
           y = 6

4. (3.5, 14)  = (1, y)
       3.5 / 14 = 1/y
   Rearranging,
           y = 1/(3.5/14)
   Simplifying,
          y = 14/3.5
            y = 4

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