![]() ![]() And because we don’t see a visible factor for the independent variable, we can just say that it’s being multiplied by one. Now, this relationship is already written in slope–intercept form. Still, though, we can make a more thorough comparison to Celsius if we recall that the temperature in Celsius equals the temperature in kelvin minus 273. This is a really good indicator that the orange line represents the Fahrenheit temperature scale. Now, looking back at the graph, we can estimate where negative 459 is on the vertical axis and see that the orange line does have an intercept here. So the line representing the Fahrenheit scale has a slope of nine-fifths and a □-intercept of negative 459. Again, remember that the temperature in kelvin is the independent variable. And when written like this, it’s easier to recognize that what we have is the equation of a straight line expressed in slope–intercept form. If we evaluate and round them to the nearest whole number, we have that the temperature in Fahrenheit equals nine-fifths times the temperature in kelvin minus 459. Now, let’s distribute this factor of nine-fifths, and notice that all of these terms over here are constant. In this context, we can write the relationship between Fahrenheit and kelvin as the temperature in Fahrenheit equals nine-fifths times the temperature in kelvin minus 273 all plus 32. If we think about the two different formulas that define these lines as they’re shown here, the Kelvin temperature scale is the independent variable. But we can also see that the orange line has a greater slope than the blue line does. Notice that both colored lines have a constant slope, or a linear relationship, with the Kelvin scale. ![]() The two different-colored lines show Celsius and Fahrenheit, and we want to determine whether Fahrenheit is represented by the orange or the blue line. And remember, the Kelvin temperature scale is represented by the horizontal axis. Which line represents the Fahrenheit temperature scale? The graph shows the Celsius and Fahrenheit temperature scales against the Kelvin temperature scale, where the Kelvin temperature is shown on the horizontal axis. ![]()
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