Write the following equation in the standard form $ax + by + c = 0$ and indicate the values of $a, b,$ and $c$:
$3x + 4y = 24$

State whether the following statement is true or false:
If $(5, -2)$ is a solution of $5x + 2y = k$,then $k = 0$.

The work done by a body on application of a constant force is the product of the constant force and the distance travelled by the body in the direction of force. Express this in the form of a linear equation in two variables and draw its graph by taking the constant force as $3$ units. What is the work done when the distance travelled is $2$ units? Verify it by plotting the graph.

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

$x$	$6$	$-6$
$y$	$-2$	$6$

Draw the graph using the values of $x$ and $y$ as given in the above table.
At what points does the graph of the linear equation:
$(i)$ cut the $x$-axis and
$(ii)$ cut the $y$-axis?

State whether the following statement is true or false:
An equation in two variables has a unique solution.

At what point does the graph of the linear equation $x+y=5$ meet a line which is parallel to the $y$-axis,at a distance $2$ units from the origin and in the positive direction of the $x$-axis?