Which of the following will always be true of a graph that is non-proportional?

please help.

Given:

Consider any graph that is non-proportional.

To find:

The correct statement that is true of a graph that is non-proportional.

Solution:

We know that, if y is proportional to x, then

where, k is constant of proportionality.

In these cases if x=0, then y=0. It means the graph always pass through the origin, i.e., (0,0).

So, if a graph is not passes through (0,0), then it is non-proportional.

Thus, non-proportional graph will not pass through (0,0).

Therefore, the correct option is A.

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