If the graph of equation $a x+3 y=21$ passes through the point $(5,2)$ then the value of $a=\ldots \ldots \ldots$

Write whether the following statements are True or False? Justify your answers:

Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.

Write four solutions for each of the following equations

$3 x+5 y=0$

Write the linear equation such that each point on its graph has an ordinate $3$ times its abscissa.

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

$\begin{array}{|c|c|c|} \hline x & 1 & 2 \\ \hline y & 1 & 3 \\ \hline \end{array}$

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

At what point the graph of the linear equation

$(i)$ cuts the $x$ -axis.

$(ii)$ cuts the $y$ -axis.