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

How do you express the constant of proportionality in an equation?

Back

The constant of proportionality is expressed in the form y = kx, where k is the constant.

Front

If y = 2x, what is the constant of proportionality?

Back

The constant of proportionality is 2.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant slope.

Front

Which of the following equations is proportional: y = 3x or y = 3x + 1?

Back

y = 3x is proportional; y = 3x + 1 is not proportional because it does not pass through the origin.

Front

In the equation y = 1/2x, what is the value of the constant of proportionality?

Back

The constant of proportionality is 1/2.

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 k.

Front

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

Back

The equation is y = 4x.

Front

Is the equation y = 5x - 2 proportional?

Back

No, it is not proportional because it does not pass through the origin.

Front

What does the term 'proportional' mean in mathematics?

Back

Proportional means that two quantities maintain a constant ratio to each other.