Question

In countries like USA and Canada, the temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius: $F=\frac{9}{5}C+32$. Draw the graph of the linear equation above using Celsius for the x-axis and Fahrenheit for the y-axis.

Answer 1

Step 1: Solve for the different coordinates to draw the graph of the linear equation.

Given: $F=\frac{9}{5}C+32$.

It can also be written as $5F=9C+160$

Put $C=0$ in the given equation.

So,

$\begin{array}{rcl}F& =& \raisebox{1ex}{$9$}\!\left/ \!\raisebox{-1ex}{$5$}\right.\left(0\right)+32\\ & =& 32\end{array}$

Also, put $F=0$ in the given equation.

$\begin{array}{rcl}0& =& \raisebox{1ex}{$9$}\!\left/ \!\raisebox{-1ex}{$5$}\right.C+32\\ C& =& -32\times \frac{5}{9}\\ & =& -17.77\end{array}$

So, when $C=0°,F=32°$ and

$F=0°,C=-17.77°$.

Step 2: Plotting points $\left(0,32\right)\&\left(-17.77,0\right)$.

Here, Y-axis represents the Fahrenheit scale and X-axis represents the Celsius scale.

Scale on X-axis and Y-axis is $2\mathrm{units}=4°$.

Hence, the graph of the given linear equation is shown above.