How to find linear functions

Water freezes at 0° Celsius and 32° Fahrenheit and it boils at 100°C and 212°F.

(a) Find a linear function F that expresses temperature in the Fahrenheit scale in terms of degrees Celsius C.

(b) Find a linear function C that expresses temperature in the Celsius scale in terms of degrees Fahrenheit F.

Hello

a)
T(F) = (T(C)*(212-32)/100 ) +32 = T(C)*9/5 + 32 = T(C)*1.8 + 32

b)
T(C) = (T(F) - 32)*5/9

Regards