(04.07A) Two quantities are related, as shown in the table below:

xy
23
44
65
86

Which equation best represents the relationship?

The equation that best represents the relationship is .

Step-by-step explanation:

We are given the following table representing the two quantities below;

x        y

2       3

4       4

6       5

8       6

Firstly, we will find the two-point slope here, that is;

Consider two points; () = (2, 3) and () = (4,4)

Now, the formula for finding slope is;

Slope =  

          =    =  

Similarly, finding the slope for the points (6,5) and (8,6);

Slope =  

          =    =  

Now, the linear equation of the line having slope is given by;

 ; where m = slope and consider () = (2, 3)

So, the equation of the line is;

Hence, the equation that best represents the relationship is .

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step-by-step explanation: