Proportional Relationships - Slope Flashcard (20)

Front

What is a proportional relationship?

Back

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

Tags

CCSS.7.RP.A.2D

Front

What does it mean for a graph to be linear?

Back

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

Front

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

Back

In a proportional relationship, the graph passes through the origin (0,0), indicating that when one variable is zero, the other variable is also zero.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified in a table of values if the ratios of corresponding values are constant.

Tags

CCSS.7.RP.A.2D

Front

What is the slope of a line in a graph?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-values divided by the change in the x-values (rise over run).

Tags

CCSS.8.EE.B.5

Front

What does a slope of 2 cm per hour indicate?

Back

A slope of 2 cm per hour indicates that for every hour that passes, the value of the dependent variable increases by 2 cm.

Tags

CCSS.8.EE.B.5

Front

What are the characteristics of a proportional relationship?

Back

The characteristics of a proportional relationship include being linear, passing through the origin, and having a constant ratio between the two variables.

Tags

CCSS.7.RP.A.2D

Front

How can you determine if a graph shows a proportional relationship?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a relationship is described as 'proportional'?

Back

If a relationship is described as 'proportional', it means that the two quantities increase or decrease at the same rate, maintaining a constant ratio.

Tags

CCSS.7.RP.A.2D