Check whether the point $(\sqrt{2}, 4\sqrt{2})$ is a solution of the equation $x - 2y = 4$.

Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a$,$b$,and $c$: $x = 3y$.

Find four different solutions of the equation $x + 2y = 6.$

Draw the graph of the linear equation in two variables: $x + y = 4$.

In countries like $USA$ and Canada,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:
$F = \left(\frac{9}{5}\right) C + 32$
$(i)$ Draw the graph of the linear equation above using Celsius for $x$-axis and Fahrenheit for $y$-axis.
$(ii)$ If the temperature is $30\,^oC$,what is the temperature in Fahrenheit?
$(iii)$ If the temperature is $95\,^oF$,what is the temperature in Celsius?
$(iv)$ If the temperature is $0\,^oC$,what is the temperature in Fahrenheit and if the temperature is $0\,^oF$,what is the temperature in Celsius?
$(v)$ Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes,find it.

Draw the graph of the linear equation in two variables: $x - y = 2$.