The difference between Freezing and Frosty

When used as adjectives, freezing means suffering or causing frost, whereas frosty means cold, chilly.

Freezing is also noun with the meaning: the change in state of a substance from liquid to solid by cooling to a critically low temperature.

check bellow for the other definitions of Freezing and Frosty

Freezing as an adjective (literally):

Suffering or causing frost
Freezing as an adjective (by extension, chiefly, hyperbole):

Very cold

Freezing as a noun (uncountable, physics, chemistry):

The change in state of a substance from liquid to solid by cooling to a critically low temperature.
Freezing as a noun (countable, medicine):

The action of numbing with anesthetics.

Frosty as an adjective:

Cold, chilly.

Examples:

"The air was frosty; I could see my breath and walked quickly with my hands in my pockets."

"I'd like a frosty milkshake."
Frosty as an adjective:

Having frost on it.

Examples:

"The frosty pumpkin is the sign of the end of the growing season, soon the greenery will wither and harvest end for the year."
Frosty as an adjective (figuratively):

Having an aloof or inhospitable manner.

Examples:

"After the divorce, she was civil but frosty to her ex."
Frosty as an adjective (slang):

Alert.

Examples:

"Stay frosty''."