Proportional and Non-Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two variables where their ratio is constant. This means that as one variable increases, the other variable increases at a consistent rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two variables where the ratio is not constant. This means that the change in one variable does not consistently correspond to a change in the other variable.

Front

What does it mean for a graph to pass through the origin?

Back

A graph passes through the origin if the point (0,0) is on the graph. This indicates that when the independent variable is zero, the dependent variable is also zero.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of the dependent variable when the independent variable is zero.

Front

How do you find the rate of change in a linear relationship?

Back

The rate of change is found by dividing the change in the dependent variable by the change in the independent variable. It represents how much the dependent variable changes for a unit change in the independent variable.

Front

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

Back

The slope (m) of a line can be calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a linear graph look like?

Back

A linear graph is a straight line that shows a constant rate of change between two variables.

Front

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

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed. If you travel at 60 miles per hour, the distance traveled is directly proportional to the time spent traveling.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the relationship between the number of items purchased and the total cost when there is a fixed fee added to the cost.

Front

What does it mean if a table of values is proportional?

Back

A table of values is proportional if the ratios of the corresponding values of the two variables are constant.