Question

How do you convert degrees C to degrees F?

Answer 1

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^@`