The graph that shows that gases become increasingly soluble in a liquid as the temperature of the liquid decreases is a graph that shows these characteristics:
1) vertical-axis (traditional y-axis): solubility
2) horizontal-axis (traditional x-axis): temperature
3) graph: a curve with negative slope, i.e. the as the temperature (horizontal-axis) goes further to the right (increasing), the solubility (vertical-axis) goes downward.
An example of the application of this property is the CO2 in the sodas. CO2 incorporated at low temperature.