Graphing Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change between the two variables in a proportional relationship.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the significance of the point (0,0) in a proportional graph?

Back

The point (0,0) indicates that when one quantity is zero, the other quantity is also zero, confirming a proportional relationship.

Front

What does a straight line on a graph indicate?

Back

A straight line indicates a constant rate of change, which is characteristic of proportional relationships.

Front

What is the constant rate of change in a proportional relationship?

Back

The constant rate of change is the slope of the line, representing how much one quantity changes in relation to another.

Front

If a table of values shows a constant ratio, what can we conclude?

Back

If a table of values shows a constant ratio, we can conclude that the relationship is proportional.

Front

What is the formula for finding the slope of a line given two points?

Back

The formula is m = (y2 - y1) / (x2 - x1).

Front

What does it mean if a graph does not pass through (0,0)?

Back

If a graph does not pass through (0,0), it indicates that the relationship is non-proportional.

Front

How can you tell if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).