Is $5 y = - 4 x$ $5y=-4x$ a direct variation equation and if so what is the constant?

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Answer 1 · 2017-09-04T18:01:07

Yes...

a direct variation is defined: " A relationship between two variables in which one is a constant multiple of the other. "

...which you verify here with one algebraic step.

write y as a function of x:

$y = - \frac{4}{5} x$ $y = -4/5x$

...and you see that y varies as $- \frac{4}{5}$ $-4/5$ x.

$- \frac{4}{5}$ $-4/5$ is your constant.

Is 5y=−4x5y=-4x a direct variation equation and if so what is the constant?