ANSWER
[tex] y = x + 8[/tex]
EXPLANATION
We can see that, the difference in y-values from the table is 3
Also the difference in the x-values is 3.
Hence the slope is
[tex]m = \frac{3}{3} = 1[/tex]
Let y=mx +c be function equation.
We put m=1 to get,
[tex]y = x + c[/tex]
From the table when x=2, y=10.
This implies that,
[tex]10 = 2 + c[/tex]
[tex]c = 10 - 2 = 8[/tex]
Hence the function equation is
[tex]y = x + 8[/tex]
