Graphs of current against potential difference (or vice versa) are useful for two reasons. The first is that Ohm's law can be confirmed or declined for a given conductor (depending on whether current and voltage are proportional). The second is that the resistance of a conductor at a given point is the ratio of V/I. Note that this is not the same as the gradient of a V vs I graph.
Summary
Ohmic resistors
In physics, we often calculate gradients to find new quantities. This is not the case for resistors.
To calculate the resistance from an I-V graph you should use the specific values of V and I at a point and not the gradient.
Non-Ohmic resistors
The same is true for non-Ohmic resistors. You do not need to draw a tangent to find the resistance.