Which of the following will always be true of a graph that is non-proportional?
please help.
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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
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
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.