Proportional VS Linear 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 is a linear relationship?

Back

A linear relationship is a relationship that can be represented by a straight line on a graph, where the change in one variable is proportional to the change in another.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship will pass through the origin (0,0) and will be a straight line.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is 0, indicating the starting point of the relationship.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is 1.

Front

How do you determine if a relationship is proportional or nonproportional?

Back

If the ratio between the two quantities remains constant, it is proportional; if it changes, it is nonproportional.

Front

What does a nonproportional graph look like?

Back

A nonproportional graph does not pass through the origin and may have a y-intercept greater than zero.

Front

What is the formula for finding the slope of a line?

Back

The slope (m) is calculated as m = (change in y) / (change in x).

Front

What is an example of a proportional relationship in real life?

Back

An example is the cost of apples if they are sold at a constant price per pound.

Front

What is an example of a nonproportional relationship?

Back

An example is a taxi fare that includes a base charge plus a charge per mile.