Final answer:
A linear relationship between voltage and current that does not pass through the origin can still be considered ohmic, as it represents a constant resistance value, a hallmark of ohmic materials.
Step-by-step explanation:
If you graph a relation that is linear but doesn't pass through the origin, can it be considered ohmic or non-ohmic? The key here is that for a material to be considered ohmic, it must follow Ohm's law, which states that the current through a conductor between two points is directly proportional to the voltage across the two points. This implies a linear relationship between voltage and current that passes through the origin, to be precise (since if there is no voltage, there should be no current).
However, a straight line that does not pass through the origin could indicate the presence of some additional voltage offset or another factor that causes the linear behavior to deviate from what is predicted by Ohm's law. Despite this, the relation could still be considered linear, because the resistance (the slope of the line) is constant. Therefore, the correct answer to whether this relationship is ohmic or non-ohmic is: a) Ohmic, since the relationship between voltage and current is still linear, and that linearity defines ohmic behavior, rather than the position of the line on the graph.