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

Sagot :

The form of the direct variation equation is

[tex]y=kx[/tex]

Where k is the constant of variation

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

[tex]\begin{gathered} -95=k(-19) \\ -95=-19k \end{gathered}[/tex]

Divide both sides by -19 to find K

[tex]\begin{gathered} \frac{-95}{-19}=\frac{-19k}{-19} \\ 5=k \end{gathered}[/tex]

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

[tex]y=5x[/tex]

The equation of the direct variation is y = 5x

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