To determine the constant of proportionality \( k \) in the context of \( k = \frac{y}{x} \) (which means \( k \) is the ratio of \( y \) to \( x \)), you need to know specific values for \( x \) and \( y \) from the graph you are referring to.
The constant of proportionality represents how much \( y \) changes for a given change in \( x \). If you have coordinate points from the graph (like (x1, y1) and (x2, y2)), you can calculate \( k \) using:
\[ k = \frac{y}{x} \]
For example, if you found that when \( x = 2 \), \( y = 8 \), then:
\[ k = \frac{8}{2} = 4 \]
If you provide specific values for \( x \) and \( y \) from the graph, I can help you calculate the constant of proportionality.