Question

Find the constant of variation and the slope of the direct variation model y=2x

Answer 1

A direct proportional variation, is really just a slope-intercept form of equation, except that the y-intercept is always 0, and the constant of variation "k" is the slope pretty much.

$\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ y=\stackrel{\stackrel{slope}{k}}{2}x\stackrel{y-intercept}{+0}\impliedby \stackrel{k}{2}\qquad \qquad \stackrel{slope}{\cfrac{2}{1}}$