What is the equation of the additive relationship represented by the table. y=x+[_]

X | Y
2 | 4
4 | 6

y=x+2

Step-by-step explanation:

y=x+2

The first thing we need to do is calculate the slope.

To calculate slope, we plug our numbers into the following general formula:

So

So, our slope is 3/4.  

Now we pick whatever point we want to work with.  For this situation, i'm going to pick the second, since it is positive numbers.

Now, we plug our numbers into the point-slope form equation.  The general formula is

M is our slope,

Y₁ is our Y-coordinate and X₁ is our X-coordinate.

So, when we plug our numbers in we get