First, we can write the linear equation we are trying to find as,

F = mC + b,

where F is the dependent variable (the measure we are converting to) and C is the independent variable (the measure we are converting from).

Second, we can find the equation to convert from °C to °F using the information provided. Specifically, we know both the boiling point and freezing temperatures of water in °F and °C.

We can find the slope of the line, m, using the two points that we know to lie on the line,

(C₁, F₁) = (0, 32),

(C₂, F₂) = (100, 212).

Using these points we find m as,

where the equation of our line can now be written as,

To find the F-intercept (y-intercept) of the line, b, we can use either point lying on the line as follows,

which imply that,

Thus, to convert temperatures in °C to °F, you would use the equation,

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