To determine the constant of proportionality from the graph defined by the points (0, 0), (2, 3), and (4, 6), we first identify the ratio of \( y \) to \( x \) for the given points.
The constant of proportionality \( k \) can be found using the formula:
\[ k = \frac{y}{x} \]
Let's calculate \( k \) for one of the points, say (2, 3):
\[ k = \frac{3}{2} = 1.5 \]
Now, let's check another point, (4, 6):
\[ k = \frac{6}{4} = \frac{3}{2} \]
Both points give us the same constant of proportionality.
Thus, the constant of proportionality is:
\[ \frac{3}{2} \]
So, the correct response is:
32 \( \frac{3}{2} \)