Module 6 Flashcard Review

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 it mean for a graph to have a negative slope?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

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, which is a characteristic of proportional relationships.

Front

How do you find the slope of a line using two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the two points.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

What does it mean for a table to be linear?

Back

A table is linear if the change in the y-values is consistent for equal changes in the x-values.

Front

What is the difference between linear and proportional relationships?

Back

All proportional relationships are linear, but not all linear relationships are proportional. Proportional relationships pass through (0,0) while linear relationships may not.

Front

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

Back

The formula for slope is m = (rise/run) or m = (y2 - y1) / (x2 - x1).

Front

What does it mean if a graph is not proportional?

Back

If a graph is not proportional, it means that the relationship between the two variables does not maintain a constant ratio.

Front

What is an example of a non-proportional linear relationship?

Back

An example is the equation y = 2x + 3, which is linear but does not pass through (0,0).