Question

select the graphs that show a proportional relationship between x and y.

Explanation:

Step1: Recall proportional - relationship graph property

A proportional relationship between $x$ and $y$ has the form $y = kx$ ($k
eq0$), and its graph is a straight - line passing through the origin $(0,0)$.

Step2: Check the given graphs

Inspect each graph to see if it is a straight - line and passes through the origin. If a graph is a straight - line and goes through the point $(0,0)$, it represents a proportional relationship.

Answer:

The graphs that are straight - lines and pass through the origin $(0,0)$ show a proportional relationship between $x$ and $y$. Since no other graphs are fully shown in the provided image, if the shown straight - line graph passes through the origin, then that graph represents a proportional relationship. If there are other graphs not fully visible, check if they are straight - lines and pass through the origin to determine if they show a proportional relationship.