Proportional vs Non Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio. For example, if y = kx, where k is a constant, then y is proportional to x.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. For example, y = mx + b, where b is not zero.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis. It represents the value of y when x is 0.

Front

How can you identify a proportional relationship from an equation?

Back

If the equation is in the form y = kx (where k is a constant) and has no constant term added or subtracted, it is proportional.

Front

What is the significance of the slope in a proportional relationship?

Back

In a proportional relationship, the slope (k) represents the constant ratio between the two quantities.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is y = kx, where k is a non-zero constant.

Front

Give an example of a proportional relationship in real life.

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

What is the equation of a non-proportional relationship?

Back

The equation of a non-proportional relationship can be written as y = mx + b, where b is not equal to zero.

Front

How can you tell if a graph represents a proportional relationship?

Back

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

Front

What does it mean if a graph has a y-intercept greater than zero?

Back

If a graph has a y-intercept greater than zero, it indicates a non-proportional relationship, as the line does not pass through the origin.