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 the first graph

The first graph has a line that starts at \((0,0)\) and goes up, so it passes through the origin.

Step3: Analyze the second graph

The second graph starts at \((2,0)\), not the origin. So it does not represent a proportional relationship.

Answer:

The graph on the Left (the first graph)