Question 894326
You know two points, (F, C).  These points are (32, 0) and  (212,100).


{{{m=(100-0)/(212-32)}}}
{{{100/180}}}
{{{10/18}}}
{{{highlight_green(5/9)}}}


Point-slope form using (32,0):
{{{C-0=(5/9)(F-32)}}}
{{{C=(5/9)F-(5/9)*32}}}
{{{highlight(C=(5/9)F-160/9)}}}
or if you prefer,
{{{highlight(C=(5F-160)/9)}}}


Use the formula for any (almost) value of F you want to convert.