How do you convert degrees C to degrees F?

1 Answer
Nov 17, 2016

Answer:

Please see the explanation for the derivation of:

#F = 9/5(C) + 32F^@#

Explanation:

You can actually derive the equation, using the slope-intercept form of the equation of a line and two known points:

#y = mx + b#

Make the y coordinate the Fahrenheit value, F:

#F = m(x) + b#

Make the x coordinate the Celsius value, C:

#F = m(C) + b#

You can find the value of "b" by using the freezing point at #0C^@# and #32F^@#

#32 = m(0) + b#

#b = 32 F^@#

#F = m(C) + 32 F^@#

You and find the value of "m" by using the boiling point of water at #100C^@# and #212F^@#

#212 = m(100) + 32 F^@#

#180 = m(100)#

#m = 180/100 = 9/5#

#F = 9/5(C) + 32 F^@#