Unit 4: Direct Variation

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

Front

What does the graph of a direct variation look like?

Back

The graph of a direct variation is a straight line that passes through the origin (0,0).

Front

If y = 3x, do x and y show direct variation?

Back

Yes, because it can be expressed in the form y = kx, where k = 3.

Front

If y = 2x + 5, do x and y show direct variation?

Back

No, because it does not pass through the origin.

Front

What is the constant of variation in the equation y = 4x?

Back

The constant of variation is 4.

Front

Can direct variation have a negative constant?

Back

Yes, direct variation can have a negative constant, which means the variables will vary inversely.

Front

What is the relationship between x and y in direct variation?

Back

In direct variation, as one variable increases, the other variable also increases, and vice versa.

Front

If y = -2x, is this a direct variation?

Back

Yes, because it can be expressed in the form y = kx, where k = -2.

Front

What happens to y if x is doubled in a direct variation?

Back

If x is doubled, y will also double.

Front

What is an example of a direct variation equation?

Back

An example of a direct variation equation is y = 5x.