From the choices given below,choose the equation whose graphs are given in Fig. $(i)$ and Fig. $(ii)$.
For Fig. $(i)$:
$(a)$ $y=x$
$(b)$ $x+y=0$
$(c)$ $y=2x$
$(d)$ $2+3y=7x$
For Fig. $(ii)$:
$(a)$ $y=x+2$
$(b)$ $y=x-2$
$(c)$ $y=-x+2$
$(d)$ $x+2y=6$

(B, C) For Fig. $(i)$,the line passes through the points $(-1, 1)$,$(0, 0)$,and $(1, -1)$.
Checking the options:
For $(b)$ $x+y=0$,substituting $(-1, 1)$ gives $-1+1=0$,which is true.
Thus,the equation for Fig. $(i)$ is $x+y=0$.
For Fig. $(ii)$,the line passes through the points $(-1, 3)$,$(0, 2)$,and $(2, 0)$.
Checking the options:
For $(c)$ $y=-x+2$,substituting $(-1, 3)$ gives $3=-(-1)+2 \Rightarrow 3=1+2 \Rightarrow 3=3$,which is true.
Substituting $(0, 2)$ gives $2=-(0)+2 \Rightarrow 2=2$,which is true.
Thus,the equation for Fig. $(ii)$ is $y=-x+2$.