Which graph shows the relationship between temperature, x, and kinetic energy, y?

see the graph attached (straight line, passing through the origin and positive slope).

Justification:

1) Kinetic energy and temperature are in direct proportion. That means:

i)  Being kinetic energy y and temperature x: y α x

ii) That implies: y = kx,where k is the constant of proportionality.

iii) The graph is a line that passes through the origin and has positive slope k (k = y / x).

2) The proportional relationship between kinetic energy (KE) and temperature (T) is shown by the Boltzman law, which states:

Average KE = [3 / 2] KT, where K is Boltzman's constant, whose graph is of the form shown in the figure attached.