Question

1b. does the graph demonstrate a proportional relationship between x and y? explain.

Explanation:

Step1: Recall Proportional Relationship

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

Step2: Analyze the Given Graph

The given graph is a straight line, but we need to check if it passes through the origin. From the graph, the line does not pass through the point \((0,0)\) (it intersects the \( y \)-axis at a non - zero point).

Answer:

The graph does not demonstrate a proportional relationship between \( x \) and \( y \). A proportional relationship \( y = kx \) has a graph that is a straight line passing through the origin \((0,0)\). Since the given line does not pass through the origin, it does not represent a proportional relationship.