Question 567295: if c equals degree celsius and f equals degree Fahrenheit ,assume that the relationship between the two temprature scales is linear and is being graphed with f on vertical axis.two data points on the line relating c and f are (5,41)and (25,77).using the points to find slope intercept equation which allow transformation from Celsius temperature to equivalent Fahrenheit temperature. Identify and intercept the meaning of the slope, c intercept , and f intercept
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! if c equals degree celsius and f equals degree Fahrenheit ,assume that the relationship between the two temprature scales is linear and is being graphed with f on vertical axis.two data points on the line relating c and f are (5,41)and (25,77).using the points to find slope intercept equation which allow transformation from Celsius temperature to equivalent Fahrenheit temperature. Identify and intercept the meaning of the slope, c intercept , and f intercept
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slope = (77-41)/(25-5) = 1.8
Slope is the ratio of F to C
A change in temperature gives a larger difference in degs F than degs C.
eg, the liquid temp range of water (at standard pressure) is 180º F or 100º C.
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F = 1.8C + b
41 = 1.8*5 + b
b = 32
--> F = 1.8C + 32
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At the C intercept, F = 0
At the F intercept, C = 0
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