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

Back

(0, 0)

Front

If y varies directly with x, what is the equation when y = 84 and x = 16?

Back

y = 5.25x

Front

Which graph represents a direct variation?

Back

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

Front

If y varies directly with x and y = 39 when x = 3, what is y when x = 2?

Back

y = 26

Front

If x and y vary directly, what is the missing value in the points (x, 4) and (-14, -8)?

Back

x = 7

Front

What is the constant of variation in the equation y = kx?

Back

The constant of variation (k) is the ratio of y to x in a direct variation.

Front

How do you find the constant of variation from a direct variation problem?

Back

To find k, divide y by x (k = y/x).

Front

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

Back

In direct variation, as x increases, y increases proportionally, and as x decreases, y decreases proportionally.

Front

Can direct variation have negative values?

Back

Yes, direct variation can have negative values if the constant of variation (k) is negative.