Answer
The equation is not a direct variation
Work Step by Step
An equation is called a direct variation if it is in the form of $y=kx$, where $k\ne0$ is the constant variation
The value of the constant of variation is obtained by dividing x:
$k=\frac{y}{x}$
$2y=5x+1$
$y=\frac{5}{2}x+\frac{1}{2}$
This equation is not in the form $y=kx, so the equation is not a direct variation.
