Graphing Proportional Relationships from an Equation

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 quantity is constant.

Front

How do you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0) and is straight.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant of proportionality, which is the ratio of the change in y to the change in x.

Front

What is the equation of a proportional relationship?

Back

Front

Back

The constant of proportionality is 3.

Front

How can you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

What does it mean if a graph of a proportional relationship is not a straight line?

Back

If the graph is not a straight line, it means that the relationship is not proportional.

Front

What is the significance of the point (0,0) in a proportional relationship?

Back

The point (0,0) indicates that when x is 0, y is also 0, which is a characteristic of proportional relationships.

Front

How do you convert a proportional relationship equation into slope-intercept form?

Back

Front

What is the formula to calculate the slope of a line?

Back