The Fahrenheit temperature F and absolute temperature K satisfy a linear equation. Given that `K=273` when `F=32` and that `K=373` when`F=212` . Express K in terms of F and find the value of F, when `K=0` .

Explanation

Assuming `F` along X-axis and `K` along Y-axis, we have two points `(32, 273)` and `(212, 373)` in xy-plane or FK-plane.

As `F` and `K` satisfy a linear equation. The equation of the line passing through `(32, 273)` and `(212, 373)` is

`K-273=frac{373-273}{212-32}(F-32)`

`K-273=frac{100}{180}(F-32)`

`K=frac{5}{9}(F-32)+273`

Putting `K=0`, we get,

`0=frac{5}{9}(F-32)+273`

`F=-459.4`