Determine whether the equation represents a direct variation. If it does, find the constant of variation.
2y=5x+1
To determine if the equation represents a direct variation, we need to check if the equation can be written in the form y=kx.
Let's rearrange the equation to isolate y:
2y = 5x + 1
Divide both sides by 2:
y = (5/2)x + 1/2
The equation cannot be written in the form y=kx since there is a term with x in the numerator and a constant term in the equation. Therefore, the equation does not represent a direct variation.