Proportional Graphs

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

How can you identify a proportional graph?

Back

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

Front

What does the slope of a proportional graph represent?

Back

The slope represents the constant ratio between the two quantities.

Front

What is the equation of a proportional relationship?

Back

The equation is y = kx, where k is the constant of proportionality.

Front

What does 'k' represent in the equation y = kx?

Back

'k' represents the constant of proportionality, indicating how much y changes for a unit change in x.

Front

If a table of values shows (2, 4) and (3, 6), is it proportional?

Back

Yes, because the ratio of y to x is constant (2:1).

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.

Front

What does the x-axis represent in a proportional graph?

Back

The x-axis typically represents the independent variable, often time or quantity.

Front

What does the y-axis represent in a proportional graph?

Back

The y-axis typically represents the dependent variable, which changes in response to the independent variable.

Front

If a graph passes through the point (0,0), what can you conclude?

Back

It indicates a proportional relationship.