Find the Equation that Relates x and y x=-4 , y=-5/4

$x = - 4$ , $y = - \frac{5}{4}$

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.

$y = k x$

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

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

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

$k = \frac{- \frac{5}{4}}{- 4}$

Multiply the numerator by the reciprocal of the denominator.

$k = - \frac{5}{4} \cdot \frac{1}{- 4}$

Move the negative in front of the fraction.

$k = - \frac{5}{4} \cdot (- \frac{1}{4})$

Multiply $- \frac{5}{4} (- \frac{1}{4})$ .

Multiply $- 1$ by $- 1$ .

$k = 1 (\frac{5}{4}) \cdot \frac{1}{4}$

Multiply $\frac{5}{4}$ by $1$ .

$k = \frac{5}{4} \cdot \frac{1}{4}$

Multiply $\frac{5}{4}$ by $\frac{1}{4}$ .

$k = \frac{5}{4 \cdot 4}$

Multiply $4$ by $4$ .

$k = \frac{5}{16}$

Use the direct variation model to create the equation.

$y = k x$

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

$y = (\frac{5}{16}) x$

Simplify the result to find the direct variation equation.

$y = \frac{5 x}{16}$

Find the Equation that Relates x and y x=-4 , y=-5/4

Related Questions

Support LCMGCF.com by disabling your adblocker.