They said, conduct an investigation to show the relationship between temperatures and kinetic energy and one phase of matter. What would the graph of the relationship look like?

The relationship between temperatures and kinetic energy in a particular phase of matter can be represented by a line graph. The graph would have temperature (independent variable) plotted on the x-axis, and kinetic energy (dependent variable) plotted on the y-axis.

As temperature increases, the kinetic energy of particles in that phase of matter also increases. This relationship is linear, meaning that the graph would show a positive correlation, with the line sloping upwards from left to right. The slope of the line would depend on the specific substance being investigated.

It is important to note that the graph might not pass through the origin (0,0) because at absolute zero temperature, there may still be some residual kinetic energy present in the particles. However, the graph would generally show an increasing trend as temperature rises.