Determine which of the given equations is represented by the graph shown in the figure below.

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

The force exerted to pull a cart is directly proportional to the acceleration produced in the body. Express the statement as a linear equation of two variables and draw the graph of the same by taking the constant mass equal to $6 \,kg$. Read from the graph,the force required when the acceleration produced is $(i)$ $5 \,m/s^2$,$(ii)$ $6 \,m/s^2$.

The point $\ldots \ldots \ldots$ lies on the graph of the equation $3x - 5y = 15$.

Write whether the following statements are True or False? Justify your answers.
$(i)$ The line parallel to the $y$-axis at a distance of $4$ units to the left of the $y$-axis is given by the equation $x = -4$.
$(ii)$ The graph of the equation $y = mx + c$ passes through the origin.

State whether the following statement is True or False. Justify your answer:
The coordinates of points in the table:

$x$	$0$	$1$	$2$	$3$	$4$
$y$	$2$	$3$	$4$	$-5$	$6$

represent some of the solutions of the equation $x-y+2=0$.