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General
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Question

The graph AB shown in figure is a plot of temperature of a body in degree celsius and degree Fahrenheit. Then

  1. Slope of line AB is 9/5    
  2. Slope of line AB is 5/9    
  3. Slope of line AB is 1/9    
  4. Slope of line AB is 3/9    

The correct answer is: Slope of line AB is 5/9


    Relation between Celsius and Fahrenheit scale of temperature is fraction numerator C over denominator 5 end fraction equals fraction numerator F minus 32 over denominator 9 end fraction Þ C = fraction numerator 5 over denominator 9 end fraction F minus fraction numerator 160 over denominator 9 end fraction
    Equating above equation with standard equation of line y equals m x plus c we get slope of the line AB is m equals fraction numerator 5 over denominator 9 end fraction

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