You are working on a new temperature scale that will unify the earth. Let F denote the temperature in degrees Fahrenheit, let X denote your new temperature scale. You want it to be such that if F=0 then X=19 and if F=100 then X=107 . You also want X to be such that if you plot X against F you obtain a straight line. The formula X= mF + b
Where M = ?????
Where B = ?????

Question

You are working on a new temperature scale that will unify the earth. Let  F denote the temperature in degrees Fahrenheit, let X denote your new temperature scale. You want it to be such that if F=0 then X=19 and if F=100  then X=107 . You also want X to be such that if you plot X against F you obtain a straight line. The formula X= mF + b 
Where M = ?????
Where B = ?????

amistre64 · Answer

so they give us 2 "coordinates" to work with, and that is all you really need for a line right?

amistre64 · Answer

0,19  and  100,107

lets find the slope between these points

amistre64 · Answer

107-19       88
------- =  ---  = 44/50 = 22/25
100-0        100

amistre64 · Answer

M = 22/25

0 = (22/25)(19) + B

0 = 418/25 + B

B = -418/25  simplify as needed :)

amistre64 · Answer

and check as required lol.... i used it backwards

amistre64 · Answer

M = 22/25

19 = (22/25)0 + B

19 = 0 + B

B = 19 .... thats better ;)

anonymous · Answer

Thanks! Wow that worked out well:) that makes sense, thanks!!!