Finite Math Examples

$x = 1$ , $y = - 2$

Step 1

When two variable quantities have a constant ratio, their relationship is called a direct variation. It is said that one variable varies directly as the other. The formula for direct variation is $y = k x^{2}$ , where $k$ is the constant of variation.

$y = k x^{2}$

Step 2

Solve the equation for $k$ , the constant of variation.

$k = \frac{y}{x^{2}}$

Step 3

Replace the variables $x$ and $y$ with the actual values.

$k = \frac{- 2}{1^{2}}$

Step 4

One to any power is one.

$k = \frac{- 2}{1}$

Step 5

Divide $- 2$ by $1$ .

$k = - 2$