Question

How can you determine if a linear relationship is a direct variation from an equation? a table? a graph? (Is the answer comparing the ratios to check for a common ratio?)

Answer 1

Equation:
a linear relationship is of the form \(y = mx+c\)
where as the direct variation is \(y = mx\)

see the difference?

from graph, if the line passes through the origin, then its a direct variation :)