Question 89883
2. There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points: 
Fahrenheit Celsius
Freezing point of water 32 0
Boiling point of water 212 100 
1. Find the linear equation that expresses temperature in degrees Fahrenheit as a function of temperature in degrees Celsius.
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slope = (212-32)/(100-0) = 180/100 = 9/5
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The equation is y=mx+b where m=9/5,and y=32 when x=30
32=(9/5)*0+b
b=32
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EQUATION:
Fahrenheit = (9/5)(Celcius)+32
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2. Find the linear equation that expresses temperature in degrees Celsius as a function of temperature in degrees Fahrenheit.
Celcius = (Fahrenheit-32)*(5/9)
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3. How do the graphs of these two functions differ? 
One is the inverse of the other.
{{{graph(400,300,-50,40,-50,40,(9/5)x+32,(x-32)*(5/9))}}}
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