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: Analyze the first graph

The first graph is a straight - line and passes through the origin \((0,0)\). So it represents a proportional relationship.

Step3: Analyze the second graph

The second graph is a curve, not a straight - line. A proportional relationship has a linear graph. So it does not represent a proportional relationship.

Answer:

The first graph shows a proportional relationship between \(x\) and \(y\).