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 is the constant of variation in direct variation?

Back

The constant of variation, denoted as k, is the ratio of y to x in the equation y = kx.

Front

What ordered pair does a direct variation always go through when graphed?

Back

(0, 0)

Front

How can you determine if a table represents direct variation?

Back

A table represents direct variation if the ratio of y to x is constant for all pairs.

Front

What is the equation of a direct variation if k = 2?

Back

y = 2x

Front

If y = 3x, what is the value of k?

Back

k = 3

Front

Which of the following is a characteristic of a direct variation graph?

Back

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

Front

What is another name for the constant of variation k?

Back

Slope.

Front

If a direct variation equation is y = 4x, what is the value of y when x = 5?

Back

y = 20.

Front

Is the following table a direct variation? (1, 2), (2, 4), (3, 6)

Back

Yes, the constant of variation is 2.