Finite Math Examples

$x = - 1$ , $y = - 5$

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 $y = k x$ , where $k$ is the constant of variation.

$y = k x$

Step 2

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

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

Step 3

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

$k = \frac{- 5}{- 1}$

Step 4

Divide $- 5$ by $- 1$ .

$k = 5$

Step 5

Use the direct variation model to create the equation.

$y = k x$

Step 6

Substitute the value of $k$ into the direct variation model.

$y = (5) \cdot x$

Step 7

Simplify the result to find the direct variation equation.

$y = 5 x$