Find the Equation that Relates x and y x=-5 , y=10

$x = - 5$ , $y = 10$

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.

$k = \frac{10}{- 5}$

Step 4

Divide $10$ by $- 5$ .

$k = - 2$

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.

$y = (- 2) \cdot x$

Step 7

Simplify the result to find the direct variation equation.

$y = - 2 x$

Find the Equation that Relates x and y x=-5 , y=10

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