Question

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

Answer 1

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a direct variation the equation of the line passes through the origin

In this problem we have

$2y=5x+1$ ----> this line not passes through the origin

therefore

The answer is

the equation does not represent a direct variation

Answer 2

Answer:

NO DIRECT VARIATION

Step-by-step explanation:

A relationship between two variables represents a direct variation with a direct variation the equation of the line passes through the origin and this equation does not do so.