The fahrenheit `'F'` and Kelvin `'K'` temperatures show a linear relation. If at `F=32`, `K=273` and at `F=212`, `K=373`, then find `K` in terms of `F`. Also find the value of `F` when `K=0`.

Explanation

Let `F` and `K` are along `X`-axis and `Y`-axis respectively.
Now, `(32,273)` and `(212,373)` be any two points in `XY`-plane.
Equation of line passing through these points
`K-273=(373-273)/(212-32)(F-32)`
`=(100)/(180)(F-32)`
`=(5)/(9)(F-32)`
`implies K=(5)/(9)(F-32)+273`
Which is the required relation,
Now, put `K=0`
`0=(5)/(9)(F-32)+273`
`implies F-32=-273xx(9)/(5)=-491.4`
`implies F=-459.4`