Proportional Relationships

Front

What is a proportional relationship?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It is calculated as the change in y divided by the change in x.

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then use the formula: slope = rise/run.

Front

What is the equation of a line in slope-intercept form?

Back

Front

True or False: A graph that passes through the origin is proportional.

Back

True. A graph that passes through the origin indicates a proportional relationship.

Front

What is the constant of proportionality?

Back

Front

How do you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratios of corresponding y and x values are constant across the table.

Front

What is the formula for calculating the rate of change?

Back

The rate of change is calculated using the formula: rate of change = (change in y) / (change in x).

Front

If the slope of a line is negative, what does that indicate about the relationship between x and y?

Back

If the slope of a line is negative, it indicates that as x increases, y decreases, showing an inverse relationship.

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 variables does not maintain a constant ratio, and it may not pass through the origin.