Question

In some Tan het countries temperature whereas in countries like India is is measured in measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius F = Tc + 32 i) Draw the using Celsius for Celsius graph of the linear equation above axis and Caren bid for y-axis?

Answer 1

The graph of the linear equation F = Tc + 32, where F represents Fahrenheit and Tc represents Celsius, is a straight line that intersects the y-axis at 32 and has a slope of 1. It shows the relationship between Celsius and Fahrenheit temperatures, indicating that at 0°C, the corresponding Fahrenheit temperature is 32°F.

Explanation:

The equation given, F = Tc + 32, is used to convert Celsius (Tc) to Fahrenheit (F). To graph this equation, we can rearrange it into the slope-intercept form, y = mx + b, where F (Fahrenheit) is the dependent variable (y), Tc (Celsius) is the independent variable (x), the slope (m) is 1, and the y-intercept (b) is 32.

The y-intercept, 32, signifies that at 0°C (where Tc = 0), the corresponding Fahrenheit temperature is 32°F. This point (0, 32) lies on the y-axis. The slope of 1 indicates that for every degree rise in Celsius, there is an equivalent rise of 1 degree in Fahrenheit.

Graphically, this forms a straight line, starting at 32 on the y-axis and with a slope of 1, indicating a linear relationship between Celsius and Fahrenheit temperatures. As Celsius increases by one unit, Fahrenheit also increases by one unit, maintaining a consistent ratio. This linear relationship is crucial for converting temperatures between the two scales.

Therefore, when plotted on a graph with Celsius on the x-axis and Fahrenheit on the y-axis, the line starts at 32 on the y-axis and proceeds upwards at a steady slope of 45 degrees, representing the conversion relationship between Celsius and Fahrenheit temperatures.