Question

Suppose you have designed a new thermometer called the x thermometer. On the x scale the boiling point of water is 129 ?x and the freezing point of water is 13 ?x. Part a at what temperature are the readings on the fahrenheit and x thermometers the same?

Answer 1

(x1,y1) (x2,y2)  

(32,15) (212,135)  

y = mx + b  

m=(y2-y1)/(x2-x1)  

m=.66667  

y = .66667*(x) + b  

Plug in #s to test for b value  

15 = .66667*(32) + b  

b = -6.334  

y = mx + b  

y = .6667*(x) + (-6.334)  

F = .6667*(F) + (-6.334)  

F = (.6667*(F) = -6.334  

(F - .6667F) = -6.334  

F(1 - .6667) = -6.334  

F = -19  

ThermX = F @ -19 degrees

Brainliest please!