Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case : $x=3 y$

Check the solutions of the equation $x -2y = 4$ and which are not : $(4,\,0)$

Solve the equation $2x + 1 = x -3$, and represent the solution(s) on

$(i)$ the number line,

$(ii)$ the Cartesian plane.

Draw the graph of $x + y = 7.$

Draw the graph and linear equations in two variables : $y=3 x$

From the choices given below, choose the equation whose graphs are given in Fig. $(i)$ and Fig. $(ii)$.

For Fig. $(i)$                                            For Fig. $(ii)$

$(a)$ $y=x$                                              $(a)$ $y=x+2$

$(b)$ $x+y=0$                                     $(b)$ $y=x-2$

$(c)$ $y=2 x$                                           $(c)$ $y=-x+2$

$(d)$ $2+3 y=7 x$                                $(d)$ $x+2 y=6$