Equations: Constant of Proportionality

Front

What is the constant of proportionality in the equation y = 8x?

Back

The constant of proportionality is 8.

Front

How can you determine if a relationship is proportional?

Back

A relationship is proportional if it can be expressed as y = kx, where k is a constant.

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and cannot be expressed as y = kx.

Front

Write the equation for a proportional relationship where k = 4.

Back

y = 4x.

Front

If y = (1/4)x, what is the constant of proportionality?

Back

The constant of proportionality is 1/4.

Front

What is the equation for a proportional relationship with a constant of proportionality of 3?

Back

y = 3x.

Front

How do you identify the constant of proportionality from a table of values?

Back

Divide the y-value by the corresponding x-value for any pair of values.

Front

What is the equation for a proportional relationship where k = 5/4?

Back

y = (5/4)x.

Front

If a table shows values that double, is the relationship proportional?

Back

Yes, the relationship is proportional.

Front

What is the equation for a proportional relationship with k = 1/8?

Back

y = (1/8)x.