Posted by Vilma on Sunday, June 3, 2012 at 12:02am.
A temperature of 30 degrees F is equivalent to 271.89 degrees K, while a temperature of 94 degrees F is equivalent to 307.44 degrees K. Find the equation converting Kelvin temperature to Fahrenheit. What is the Fahrenheit temperature when it is 212 degrees K?

Algebra  MathMate, Sunday, June 3, 2012 at 8:00am
Assume a linear relationship of:
F=mK+b ....(1)
where m=slope, and b=intercept.
We have two given points, (271.89,30) and (307.44,94)
The standard formula for m (slope) is:
m=(y2y1)/(x2x1)=(9430)/(307.44271.89)=1.8
With m=1.8, substitute one of the points into equation (1) to find b:
30=1.8(271.89)+b
b=301.8(271.89)=459.4
So the conversion equation is:
F=1.8K459.4
I leave it to you to substitute K=212 in order to find the fahrenheit degrees. 
Algebra  Reiny, Sunday, June 3, 2012 at 8:02am
Let F = aK + b , (treating it like the linear equation y = mx + b)
we have two points (271.89, 30) and (307.44, 94)
a = slope = (9430)/(307.44  271.89) = 64/35.55
= 1.80028
let's go with 1.8
so F = 1.8K + b
sub in (271.89,30) to find b
30 = 1.8(271.89) + b
b = 459.48
F = 1.8K  459.48
so when K = 212
F = 1.8(212)  459.48 = 77.9° Fahrenheit 
To MathMate  Algebra  Reiny, Sunday, June 3, 2012 at 8:04am
What's that saying again, some kind of minds thinking alike ?? lol

Algebra  MathMate, Sunday, June 3, 2012 at 8:07am
Great minds think alike! haha!