Determine wether the equation represents a direct variation. If it does find the constant of variation. 2y=5x+1

No, the equation does not represent a direct variation.

Step-by-step 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.