Question

1. which graph represents a proportional relationship? explain. graph a graph b graph c

Explanation:

Step1: Recall proportional - relationship graph property

A proportional relationship has the form $y = kx$, where $k$ is a non - zero constant. Its graph is a straight line passing through the origin $(0,0)$.

Step2: Analyze Graph A

Graph A is a straight line and passes through the origin $(0,0)$. So it represents a proportional relationship.

Step3: Analyze Graph B

Graph B is a straight line but does not pass through the origin. So it does not represent a proportional relationship.

Step4: Analyze Graph C

Graph C is a straight line but does not pass through the origin. So it does not represent a proportional relationship.

Answer:

Graph A represents a proportional relationship because the graph of a proportional relationship is a straight line that passes through the origin $(0,0)$, and Graph A is a straight - line passing through the origin.