You are trying to compare the Fahrenheit and Celsius scales and you have two examples: Temperature A is 40 deg?

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You are trying to compare the Fahrenheit and Celsius scales and you have two examples: Temperature A is 40 degrees Celsius and 104 degrees F. Temperature B is 100 degrees C and 212 degrees F. What is an equation of the line in slope-intercept form?

thank you so much!!

1 Answer

  • F = kC + c

    ==>

    104 = 40k + c

    212 = 100k + c

    ==> 108 = 60k (subtract one from the other to eliminate c

    ==> k = 108/60 = 9/5

    Now use this value of k in either of the given equations in k and c

    ==> 104 = 40 *9/5 + c

    ==> c = 104 – 72 = 32

    so, the equation is

    F = 9C/5 + 32

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