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

Write each of the following as an equation in two variables:
$(i)$ $x = -5$
$(ii)$ $y = 2$
$(iii)$ $2x = 3$
$(iv)$ $5y = 2$

If the point $(3, 4)$ lies on the graph of the equation $3y = ax + 7$,find the value of $a$.

You know that the force applied on a body is directly proportional to the acceleration produced in the body. Write an equation to express this situation and plot the graph of the equation.

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.

Solve the equation $2x + 1 = x - 3$,and represent the solution$(s)$ on
$(i)$ the number line,
$(ii)$ the Cartesian plane.