From the choices given below,choose the correct equation whose graph is shown in the following figure.

The graph of the equation $x+y=11$ passes through the first quadrant and .............

Write whether the following statements are True or False? Justify your answers.
$(i)$ $ax + by + c = 0$,where $a, b$ and $c$ are real numbers,is a linear equation in two variables.
$(ii)$ $A$ linear equation $2x + 3y = 5$ has a unique solution.
$(iii)$ All the points $(2, 0), (-3, 0), (4, 2)$ and $(0, 5)$ lie on the $x$-axis.

Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as $10$ units.

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

$x$	$1$	$2$
$y$	$1$	$3$

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

Solve the equation $5y + 10 = 3y + 4$ and represent the solution on $(1)$ the number line and $(2)$ the Cartesian plane.