Direct variation

Front

What is direct variation?

Back

A proportional linear relationship where one variable is a constant multiple of another.

Front

What is the general form of a direct variation equation?

Back

y = kx, where k is the constant of variation.

Front

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

Back

y also doubles.

Front

What does the constant of variation (k) represent in direct variation?

Back

It represents the ratio of y to x.

Tags

CCSS.HSF-LE.A.1B

Front

Which of the following represents a direct variation: y = 3x or y = 3x + 2?

Back

y = 3x represents a direct variation.

Front

If k = 4 in the equation y = kx, what is the value of y when x = 5?

Back

y = 20.

Tags

CCSS.HSF.IF.A.1

Front

How can you determine if a set of points represents a direct variation?

Back

Check if the ratio of y to x is constant for all points.

Front

What is the graph of a direct variation equation like?

Back

It is a straight line that passes through the origin.

Tags

CCSS.8.EE.B.5

Front

If y = 2 when x = 1, what is y when x = 4 in a direct variation?

Back

y = 8.

Tags

CCSS.HSF-LE.A.1B

Front

What is the scale factor in the equation y = 5x?

Back

The scale factor is 5.