Current is the rate of flow of electrical charge. Potential difference (p.d.) pushes the charge round the circuit. Resistance opposes the current. For a given p.d., a bigger resistance gives a smaller current.
For a fixed resistor at constant temperature, the current is directly proportional to the p.d., so its I–V graph is a straight line through the origin. Other components do not behave like this. A filament lamp gives a curve, because its resistance rises as it gets hotter. A diode lets current pass in one direction only.
An ammeter goes in series with the component. A voltmeter goes in parallel across it.