Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates two proportional quantities in the equation y = kx.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a direct proportional relationship between y and x, where k is the constant of proportionality.

Front

How do you identify the constant of proportionality from a graph?

Back

To identify the constant of proportionality from a graph, find the slope of the line, which represents k in the equation y = kx.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What is the formula to find the constant of proportionality (k)?

Back

The formula to find k is k = y/x.

Front

In the equation y = ½x, what does ½ represent?

Back

In the equation y = ½x, ½ represents the constant of proportionality.

Front

What is the relationship between x and y in a proportional relationship?

Back

In a proportional relationship, as x increases, y increases at a constant rate determined by the constant of proportionality.

Front

If the constant of proportionality is 4, what is the equation?

Back

The equation is y = 4x.

Front

How can you express a proportional relationship using a table of values?

Back

You can express a proportional relationship using a table by showing pairs of (x, y) values that maintain the same ratio, y/x = k.

Front

What does it mean if the constant of proportionality is negative?

Back

If the constant of proportionality is negative, it indicates an inverse relationship where y decreases as x increases.