Question

In a direct variation, y = -95 when x = -19. Write a direct variation equation that shows therelationship between x and y.

Answer 1

The form of the direct variation equation is

`y=kx`

Where k is the constant of variation

To find k Substitute x by -19 and y by -95

`\begin{gathered} -95=k(-19) \\ -95=-19k \end{gathered}`

Divide both sides by -19 to find K

`\begin{gathered} (-95)/(-19)=(-19k)/(-19) \\ 5=k \end{gathered}`

Substitute the value of k in the form of the equation, then

`y=5x`

The equation of the direct variation is y = 5x