From the information, write the degree of Celsius as x - coordinate and the degree of Fahrenheit as y - coordinate.
\From the information, the points are .
Substitute the values of in the slope formula
.
.
To write the line equation, we can use either of the two given points.
\Consider the point (0, 32).
\Substitute in point-slope form equation or
.
Add 32 to each side.
\.
The slope and y - intercept
.
The line equation is .
The temperature is the same on both scales, so .
Substitute the value of in the above equation.
Subtract from each side.
Multiply each side by .
Cancel common terms.
\.
The value of temperature is the same on both scales is .