No.
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The formula direct variation is xk=y, where k is the constant of variation.Direct variation functions always pass through the origin. Direct variation functions are linear functions (goes in a straight line), except that they pass through the origin. Regular linear functions don't pass through the origin. That is the only difference.
yes * * * * * No, it is not. In a direct variation, if one of the variables is 0, the other MUST also be 0. In a linear function, they will be the intercepts.
Not always
The graph must be linear and pass thru the origin
The relationship is a linear one. For example when driving at a constant speed, the relationship between distance driven and the time driven is linear with a constant ratio (of the constant speed).