Answer
Yes; $k$=$\frac{7}{3}$
Work Step by Step
Equation: $-4+7x+4=3y$
To start, combine like terms:$-4+4=0$, so we are left with $7x=3y$
The $y$ needs to be isolated so divide 3 on both sides of the equation:$\frac{7}{3}$$x$=$y$
Rewrite this so that the $y$ is placed in front of the equal sign: $y=$$\frac{7}{3}$$x$
This is proper direct variation form, so yes, it does represent direct variation.
The constant of variation is $k$ in the equation $y=kx$, so it is $\frac{7}{3}$.
