Check whether $(4, 0)$ is a solution of the equation $x - 2y = 4$.

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.

Check whether $(0, 2)$ 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 $c$: $x = 3y$.

From the choices given below,choose the equation whose graphs are given in Fig. $(i)$ and Fig. $(ii)$.
For Fig. $(i)$:
$(a)$ $y=x$
$(b)$ $x+y=0$
$(c)$ $y=2x$
$(d)$ $2+3y=7x$
For Fig. $(ii)$:
$(a)$ $y=x+2$
$(b)$ $y=x-2$
$(c)$ $y=-x+2$
$(d)$ $x+2y=6$

If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body,express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as $5$ units. Also,read from the graph the work done when the distance travelled by the body is:
$(i)$ $2$ units
$(ii)$ $0$ units