Question

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

Explanation:

Step1: Recall Proportional Relationship

A proportional relationship between \(x\) and \(y\) is of the form \(y = kx\) (where \(k\) is a constant), and its graph is a straight line passing through the origin \((0,0)\).

Step2: Analyze First Graph

The first graph (left) does not pass through the origin (it has a \(y\)-intercept greater than 0). So, it does not represent a proportional relationship.

Step3: Analyze Second Graph

The second graph (right) is a straight line that passes through the origin \((0,0)\). So, it represents a proportional relationship.

Answer:

The graph on the Right