Graphs: Proportional vs Non-Proportional

Graphs: Proportional vs Non-Proportional

• Proportional graphs form a straight line that passes through the origin (0,0).
• Non-proportional graphs do not maintain a constant ratio between the x and y values.

Definitions

• Proportional: Indicates a direct relationship where the ratio of y to x remains constant.
• Non-proportional: Indicates a relationship where the ratio of y to x changes.

Identifying Proportional Relationships

• Graphs that represent proportional relationships will show a straight line through the origin.
• For tables of (x, y) values, find all ratios of y/x; if all ratios are equivalent, it indicates a proportional relationship.

Understanding Ratios

• Consistent ratios across various points in a graph or table signify proportionality.
• Variations in ratios suggest non-proportionality, indicating a changing relationship between the variables.