You are working on a new temperature scale that will unify the earth. After some thought you decide to call it the Motoko Kusanagi-universal-scale. Let $F$ denote the temperature in degrees Fahrenheit, and let $X$ denote your new temperature scale. You want it to be such that if $F=0$ then $X=8$ and if $F=100$ then $X=137$. You also want $X$ to be such that if you plot $X$ against $F$ you obtain a straight line. You obtain the formula
$X = m F + b$
where $m$ =
and $b$ =
Hint: Think of this problem as one of finding the slope-intercept form of a straight line in the $(F,X)$ plane given two points on the line.