To represent "the inequality y = 2x − 2 graphically." However, y = 2x − 2 is an equation of a straight line, not an inequality. Your work correctly graphs this equation.

You have correctly calculated the $y$-values for given $x$-values:

• For $x = 2$: $y = 2(2) - 2 = 4 - 2 = 2$. This gives the point $(2, 2)$.
• For $x = 3$: $y = 2(3) - 2 = 6 - 2 = 4$. This gives the point $(3, 4)$.
• For $x = 4$: $y = 2(4) - 2 = 8 - 2 = 6$. This gives the point $(4, 6)$.

You have accurately plotted the points $(2, 2)$, $(3, 4)$, and $(4, 6)$ on the graph.

You have correctly drawn a straight line that passes through all three points. This line represents the graph of the equation $y = 2x - 2$.

Your graph accurately represents the equation $y = 2x - 2$. If the problem intended to ask for an inequality (e.g., $y > 2x - 2$ or $y \le 2x - 2$), the graph would also involve shading a region above or below the line, and the line itself might be dashed for strict inequalities ($<$ or $>$). Since the problem stated $y = 2x - 2$, your representation of the line is correct.

The graph of the equation $y = 2x - 2$ is shown by the line you have drawn.
$\boxed{\text{The graph of the equation } y = 2x - 2 \text{ is correctly drawn.}}$