If the point $(2,3)$ lies on the graph of the equation $3 x+a y=18,$ find the value of $a$.

Let $y$ varies directly as $x$. If $y=12$ when $x=4,$ then write a linear equation. What is the value of $y$ when $x=5 ?$

If $(2,0)$ is a solution of the linear equation $2 x+3 y=k,$ then the value of $k$ is

The following observed values of $x$ and $y$ are thought to satisfy a linear equation. Write the linear equation:

$\begin{array}{|c|c|c|} \hline x & 6 & -6 \\ \hline y & -2 & 6 \\ \hline \end{array}$

Draw the graph using the values of $x, y$ as given in the above table.

At what points the graph of the linear equation

$(i)$ cuts the $x$ – axis and $(ii)$ cuts the $y$ – axis

Determine the point on the graph of the linear equation $2 x+5 y=19,$ whose ordinate is $1 \frac{1}{2}$ times its abscissa.