Tables, Graphs, & Equations of Proportional Relationships

Front

What is the formula to find the constant of proportionality (k) in a proportional relationship?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

What defines a proportional relationship in a table of values?

Back

A proportional relationship is defined by a constant ratio between the values of y and x.

Front

How can you determine if a table represents a proportional relationship?

Back

Check if the ratio of y to x is constant for all pairs of values.

Front

What does a graph of a proportional relationship look like?

Back

A graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

What is the significance of the constant of proportionality (k) in a graph?

Back

The constant of proportionality (k) represents the slope of the line in a graph of a proportional relationship.

Front

How do you identify a non-proportional relationship in a table?

Back

A non-proportional relationship will show varying ratios of y to x, meaning the ratio is not constant.

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

In a proportional relationship, the slope of the line is equal to the constant of proportionality (k).

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is non-proportional.

Front

How can you visually identify a proportional relationship in a graph?

Back

A proportional relationship will appear as a straight line through the origin, indicating a constant ratio.

Front

What is the role of the x-axis and y-axis in understanding proportional relationships?

Back

The x-axis typically represents the independent variable, while the y-axis represents the dependent variable in a proportional relationship.