Constant of proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, defined as the ratio of one quantity to another.

Front

How do 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 one variable by the corresponding value of the other variable for any pair of values.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is of the form y = kx, where k is the constant of proportionality.

Front

What does the point (0, 0) represent in a graph?

Back

The point (0, 0) is called the origin, where the x-axis and y-axis intersect.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

In a proportional relationship, if x doubles, what happens to y?

Back

If x doubles in a proportional relationship, y also doubles.

Front

What is the graphical representation of a proportional relationship?

Back

The graphical representation of a proportional relationship is a straight line that passes through the origin.

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 not proportional.

Front

How can you determine if a relationship is proportional from a graph?

Back

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

Front

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

Back

In a proportional relationship, the slope of the line represents the constant of proportionality.