Graphing Proportional Relationships

Front

What defines a proportional relationship in a graph?

Back

A proportional relationship is defined by a linear graph that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality, representing the ratio of the change in y to the change in x, often found as the slope of the line.

Tags

CCSS.7.RP.A.2B

Front

How can you determine if a graph is proportional or non-proportional?

Back

A graph is proportional if it is linear and passes through the origin; if it does not pass through the origin, it is non-proportional.

Tags

CCSS.7.RP.A.2D

Front

What does a table of values represent in terms of proportional relationships?

Back

A table of values represents a proportional relationship if the ratios of corresponding values (y/x) are constant.

Tags

CCSS.7.RP.A.2D

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the equation y = x + 3, which does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is equal to the unit rate, which is the constant ratio of y to x.

Tags

CCSS.8.EE.B.5

Front

How can you identify a proportional relationship from a set of points?

Back

You can identify a proportional relationship from a set of points by checking if the points lie on a straight line that passes through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when x is 0, y is also 0, reflecting a direct relationship.

Tags

CCSS.7.RP.A.2D

Front

What does it mean if a graph is non-linear?

Back

If a graph is non-linear, it means that the relationship between x and y is not constant, and the graph does not form a straight line.

Tags

CCSS.8.F.A.3

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, determine the slope of the line, which is the ratio of the rise (change in y) to the run (change in x).

Tags

CCSS.7.RP.A.2B