# Identifying Non-Proportional Relationships

This page focuses on identifying **non-proportional relationships** and explains why certain relationships do not qualify as proportional.

The main example discussed is a graph showing the relationship between the number of tickets and earnings. The graph is clearly not a straight line passing through the origin, which is a key indicator that the relationship is non-proportional.

**Highlight**: A relationship is non-proportional if its graph is not a straight line through the origin.

**Example**: The graph of tickets to earnings is not a straight line through (0,0), therefore it represents a **non-proportional relationship example**.

The page also introduces the concept of the constant of proportionality, which is crucial for understanding proportional relationships.

**Definition**: The **constant of proportionality** is the ratio y/x for any point on the line of a proportional relationship, except (0,0).

**Example**: For the points (2,10), (3,15), and (4,20), the constant of proportionality is consistently 5, as 10/2 = 15/3 = 20/4 = 5.

This explanation helps students understand the **characteristics of proportional relationships** and how to identify them using graphs and ratios. It's an excellent resource for **proportional relationships explained with examples worksheet** exercises.