Answer:
No, the equation does not represent a direct variation.
Explanation:
The answer is immediately evident: NO. The reason for this is that no direct variation equation includes a vertical intercept.
Here 2y = 5x + 1 becoems y = (5/2)x + 1/2; the y-intercept 1/2 is problematic.
If we were to drop the constant 1, then 2y = 5x, or y = (5/2)x; this represents direct variation with the constant of proportionality 5/2.