Direct Variation

Front

What does the letter k represent in the equation y = kx?

Back

The constant of proportionality.

Front

What is direct variation?

Back

A relationship between two variables where one is a constant multiple of the other, expressed as y = kx.

Front

How can you identify a direct variation from an equation?

Back

If the equation can be rearranged to the form y = kx, where k is a non-zero constant.

Front

What is the graph of a direct variation?

Back

A straight line that passes through the origin (0,0).

Front

Does the equation y = x^2 represent direct variation?

Back

No, because it cannot be expressed in the form y = kx.

Front

If y varies directly with x, what happens to y when x is doubled?

Back

y is also doubled.

Front

What is the constant of variation in the equation y = 3x?

Back

3.

Front

Can a direct variation have a negative constant of proportionality?

Back

Yes, as long as the relationship remains linear.

Front

What is an example of a direct variation equation?

Back

y = 5x.

Front

If y = kx and k = 4, what is y when x = 2?

Back

y = 8.