I'm assuming you meant to say "graph" instead of "table".
The function rule is y = x+2 because the y intercept is 2, where the graph crosses the y axis. The slope is 1 meaning we move 1 unit up and 1 unit to the right each time. You can use the slope formula to determine the slope, or simply make this observation of rise vs run.
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Because this line doesn't go through the origin, and because it's not in the form y = k*x, this means we do not have a direct variation equation.
We do not have an inverse variation equation either because it is not in the form y = k/x or x*y = k. A visual indication of this is that the graph isn't a curved hyperbola.
Therefore, this function is neither direct variation nor inverse variation
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Plug in y = 10 and solve for x
y = x+2
x+2 = y
x+2 = 10
x+2-2 = 10-2
x = 8
The value of x is 8
So if x = 8, then y = 10 meaning that (x,y) = (8,10) is on this blue diagonal line.