Answer
If the point (2,3) is on the graph of an equation in $x$ and $y$, then the equation is satisfied when we replace $x$ by $2$ and $y$ by $3$.
The point (2,3) is not on the graph of the equation $2y = x+1$
Work Step by Step
To check that the point (2,3) is not on the graph of the equation $2y = x+1$ we can replace $x$ by $2$ and $y$ by $3$:
$$2(3) = 2 + 1 \Leftrightarrow 6 = 3$$
It is false because $6 \neq 3$, so the point (2,3) is not on the graph of the equation $2y = x+1$.
Now, to complete the table we can express $y$ in terms of $x$:
$$2y = x + 1 \Leftrightarrow y = \frac{x+1}{2} \Leftrightarrow y = \frac{1}{2}x + \frac{1}{2}$$
Finally, just replace each value for $x$ in the table and get a value for $y$. Then complete the graph.
