If the variables x and y are in direct proportion then the graph of y against x is a straight line through the origin.
If the variables x and y are in inverse proportion then the graph of y against x is a rectangular hyperbola. Alternatively, the graph of y against 1/x (or 1/y against x) is a straight line through the origin.
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All direct variation graphs are linear and they all go through the origin.
graphs,distinguisment
If you reflect a function across the line y=x, you will have a graph of the inverse. For trigonometric problems: y = sin(x) has the inverse x=sin(y) or y = sin-1(x)
It makes it easier to see trends and direct relationships in data.
Graphs of direct variation pass through the origin so the y-intercept would be 0.