Answer
False
Work Step by Step
We take a linear equation as an example:
$$y=x$$
Testing for symmetry about the origin where we take the negative of $x$ and $y$:
$$-y=-x$$
Simplifying:
$$y=x$$
Since the resulting equation is the same as the original equation, the equation is symmetric with respect to the origin.
Thus, since there is a linear equation that is symmetric with respect to origin, the answer is False.