From the table, the two points are
.
Substitute the values of
in the slope formula
.
.
Substitute the values of
in the point - slope form of the equation
.



Add 2 to each side.
\
.
The linear equation is
.
To check the equation, substitute the all values for x in the equation
to obtain random y - values of table.
If
then
(This is true statement).
If
then
(This is true statement).
If
then 
The above statement is not true, because if
then
.
Therefore the table does not represent the linear equation.
No, the table does not represent the linear equation.