Question

Tell whether the equation represents a direct variation. If so identify the constant of variation.
2x + 3y = 0

Answer 1

Yes it's a direct variation since you can rewrite the equation as
\[ y = -\frac{2}{3}x \]
The constant of variation is then just \[ k= \frac{2}{3} \]

Answer 2

Oops, of course it should also be a minus sign in k.