Write an equation of the direct variation that includes the point (–8, 10).

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14-02-2018
Mathematics

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Write an equation of the direct variation that includes the point (–8, 10).

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jdoe0001 jdoe0001 · Answer 1 · 2018-02-14T23:45:03+01:00

[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}\\\\ -------------------------------\\\\ \textit{we also know that }(~\stackrel{x}{-8}~,~\stackrel{y}{10}~)\implies 10=k(-8) \\\\\\ \cfrac{10}{-8}=k\implies \cfrac{5}{-4}=k\qquad therefore\qquad \boxed{y=-\cfrac{5}{4}x}[/tex]