Question

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

Answer 1

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