Question 197576
Consider the following table.
C(celsius) F(Farenheit)
Water Freezes (0,32)
Water Boils (100, 212)
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Put points in the for (F,C):
(32,0) (212,100) 

(a) A linear relationship exists between Celsius(C) and Farenheit(F) temperatures. Using points of the form (F,C), find the linear equation solved for C (in terms of F).
slope = (100-0)/(212-32) = 100/180 = 5/9
intercept = ?
0 = (5/9)*32 + b
b = -160/9
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Equation:
C(F) = (5/9)F - 160/9

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(b) Now, using the linear equation that you just determined, find the Celsius equivalent of 165.4°F. C(Celsius)
C(165.4) = (5/9)*165.4 - 160/9
C(165.4) = 74.111
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Cheers,
Stan H.