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 equation y = kx represent?

Back

The equation y = kx represents a direct variation, where y varies directly with x, and k is the constant of variation.

Front

If y = 4 when x = -4, what is the value of y when x = 7?

Back

y = -x; -7

Front

In a direct variation, if y = 39 when x = 3, what is the value of y when x = 2?

Back

y = 26

Front

Which of the following equations represents a direct variation? y = -2x, y = -3x - 5, y = -1, x + 3y = 15

Back

y = -2x

Front

What is the constant of variation in the equation y = 5x?

Back

The constant of variation is 5.

Front

How do you find the constant of variation (k) in a direct variation problem?

Back

To find k, divide y by x (k = y/x) when given values for y and x.

Front

If k = 3, what is the value of y when x = 4 in a direct variation?

Back

y = kx = 3 * 4 = 12.

Front

What is the graph of a direct variation equation like?

Back

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

Front

If y varies directly with x and y = 10 when x = 2, what is y when x = 5?

Back

y = 25.