what is the constant of variation kk of the direct variation, y =kx through (-3,2)?

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04-04-2018
Mathematics

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what is the constant of variation kk of the direct variation, y =kx through (-3,2)?

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jdoe0001 jdoe0001 · Answer 1 · 2018-04-04T00:15:46+02:00

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \stackrel{(-3~~,~~2)}{\textit{we also know that }} \begin{cases} x=-3\\ y=2 \end{cases}\implies 2=k(-3)\implies \cfrac{2}{-3}=k[/tex]