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For each equation, determine whether it shows a direct variation (that is, shows directly proportional variables).If it does, find the constant of variation and write it in simplest form.-Click on Picture for the questions! More understandable-

For each equation determine whether it shows a direct variation that is shows directly proportional variablesIf it does find the constant of variation and write class=

Respuesta :

(a) 2y=8x

[tex]\begin{gathered} 2y=8x \\ y=\frac{8x}{2} \\ y=4x\Rightarrow y=kx\Rightarrow y\propto x\text{ \lbrack}direct\text{ }variation] \\ k=4 \end{gathered}[/tex]

(b) 7x=-2y-7 [ not direct variation ]

[tex]\begin{gathered} 7x=-2y-7 \\ 7x+7=-2y \\ 7(x+1)=-2y \\ (x+1)=\frac{-2y}{7} \\ x=\frac{-2y}{7}-1 \end{gathered}[/tex]

We couldn't express in the form x=ky , hence variation is not direct. OR we can say we couldn't express in the form y=kx ....hence variation is not direct

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