Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a$,$b$,and $c$: $-2x + 3y = 6$.

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 $(1, 1)$ 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 $c$: $y - 2 = 0$.

Which one of the following options is true,and why?
$y = 3x + 5$ has
$(i)$ a unique solution,
$(ii)$ only two solutions,
$(iii)$ infinitely many solutions

Find the value of $k$,if $x = 2$,$y = 1$ is a solution of the equation $2x + 3y = k$.